Title of M. Phil.: "Fixed Point theorems in Probabilistic Metric Spaces".

Title of Ph. D.: "Some contributions to metric fixed point theory".

Areas of Research Interest/Specialization: 

Nonlinear Functional Analysis(Metric Fixed-Point Theory), Approximation Theory, Variational Inequalities, Operator Theory, Mathematical Modelling.

Experience: 24+ years

Honors/Awards:

• Certificate of Appreciation in Research (2019) at University of Dar es Salaam, Tanzania.
• Best Researcher Award (2023) of the College Natural and Applied Sciences at University of Dar es Salaam, Tanzania.
• Certificate of Appreciation in research (2023) at University of Dar es Salaam, Tanzania.
• Distinguished service award (2023) by Vijnana Parishad of India.
• Certificate of Scholarly Distinction (2024) by University of Dar es Salaam, Tanzania.

Ph.D. Awarded /Supervised:  3 (Three) awarded, 5 (Five) under supervision

1. Alfred Hugo, Modelling Infectiology and Optimal Control of Newcastle Disease in poultry farm in Tanzania, Department of Mathematics, University of Dar es Salaam, Tanzania (Awarded, 2017).
2. Terentius Rugumisa, Fixed point theorems for Non-self mappings in Partial Metric Spaces, Department of Mathematics, The Open University of Tanzania (Awarded, 2018).
3. Lucas Wangwe, Investigation of Some Fixed Point Theorems for Various types of Mappings in Abstract Spaces, Department of Mathematics, University of Dar es Salaam, Tanzania (Awarded, 2022).
4. Makwaru, Shabani Iddi, An investigation of some generalized contractions in nonlinear functional analysis, Department of Mathematics, University of Dar es salaam, Tanzania (In progress).
5. Steward Pastieh Pakma, Some fixed point theorems for mappings satisfying Meir-Keeler type contractions in abstract spaces, Department of Mathematics, North-Eastern Hill University, Shillong, Meghalaya, India (Registered, Dec. 2023).
6. Mridu Paban Pathak, An investigation of fixed point theorems for various contractions in abstract spaces, Department of Mathematics, North-Eastern Hill University, Shillong, Meghalaya, India (Registered, Dec. 2023).
7. Wallamjingshai Khardewsaw, Solvability of differential equations via techniques of measures of non-compactness in various spaces, Department of Mathematics, North-Eastern Hill University, Shillong, Meghalaya, India (Registered, Feb. 2025).
8. Lobsang Tashi, Some fixed point theorems satisfying various contraction conditions in generalized metric spaces with applications, Department of Mathematics, North-Eastern Hill University, Shillong, Meghalaya, India (Registered, Feb. 2025).

MSc/M. Phill. Awarded:  35 (Awarded), 4 under supervision

Academic affiliations:

• Member of Higher Degrees Research and Publication Committee (HDRPC), College of Natural and Applied Sciences, University of Dar es Salaam, Tanzania since 2015.
• Faculty Board Member of Faculty of Commerce and Business Studies, St. John’s University of Tanzania, since Jan, 24, 2012 till Nov. 2013.
• Member of College Board in College of Natural and Mathematical Sciences, University of Dodoma, Tanzania, since July 26, 2012 till Aug. 2013.
• Member of School Board in School of Mathematical Sciences, College of Natural and Mathematical Sciences, University of Dodoma, Tanzania, Since Nov., 30, 2012 till Aug. 2013.
• Member of Indian Mathematical Society, India.
• Life time member of Vijnana Parisad of India.
• Member of Calcutta Mathematical Society, India.
• Member of School Management committee, Indian School Dar es Salaam, Tanzania since Jan. 2018 till Dec. 2018.

Editor/Reviewer of the Journals:

• Member of Editorial board in the journal “Jnanabha”, India.
• Member of American Mathematical Society (Reviewer of Mathematical Reviews)
• Member of Editorial board in “Tanzania Journal of Science”, University of Dar es Salaam, Tanzania.
• Acta Mathematica Scientia, A Journal of Mathematics by Elsevier Publication, USA.
• Varahmihir Journal of Mathematical Sciences, M.P., India.
• Kyungpook Mathematical Journal, South Korea.
• Tamkang Journal of Mathematics
• Fixed Point Theory and Algorithms for Sciences and Engineering
• Fixed Point Theory
• Taiwan Journal of Mathematics
• Demonstrio Mathematica
• Konuralp Journal of Mathematics
• Results in Nonlinear Analysis
• Turkish Journal of Mathematics

Administrative Assignment: 

• Coordinator, Industry-Academia relations, NEHU, Shillong, Meghalaya, India since Feb, 22, 2024.
• Member Secretary of Research and Development Cell, NEHU, Shillong since April 04, 2024.
• Chairperson, Innovation & startup committee.
• Member of NIRF committee, NEHU, Shillong.
• Member of Advisory committee, IPR Cell, NEHU, Shillong.
• Member of Vision document for next 25 years for NEHU, Shillong (No. F.No. Ex/DR/Annual Plan Committee/2024-476).
• Warden Boys’ Kynrem Post Graduate Hostel, NEHU, Shillong, Meghalaya, India since Sept. 2023.
• Warden Boys’ Umngot Research Scholar Hostel, NEHU, Shillong, Meghalaya, India since Sept. 2023.
• Working as Member of Students’ Counselling Centre (SCC), NEHU, Shillong from March 05, 2024 onward.
• Member of Yuvamanthan Youth Parliament Committee 2024 at NEHU, Shillong.
• Worked as Coordinator of Post Graduate Studies Programs in Department of Mathematics, College of Natural and Applied Sciences, University of Dar es Salaam, Tanzania since June 2014 till 2021.
• Worked as Coordinator of Post Graduate Studies Programs in School of Mathematical Sciences, College of Natural and Mathematical Sciences, UDOM, Tanzania from Nov. 2009 till Aug. 2013.

Funded Projects:

• Prepared SIDA (2015-2020) (Swedish International Development Cooperation Agency) project for Department of Mathematics, UDSM, Dar es Salaam, Tanzania. (20,000,000 SEK projects approved, Team members: Prof. E. W. Mureithi, Dr. C. W. Mahera, Dr. Sylvester Rugeihyamu).
• Capacity Building Program on Design and Entrepreneurship (CBDE-2024), Ministry of Education for North Eastern Hill University, Shillong, Meghalaya, India (2 Cr for year 2024-2029).

Programs/Proposals Developed:

• Prepared and revised “Master of Science in Mathematics (MSc)” program for School of Mathematical Sciences, College of Natural and Mathematical Sciences, University of Dodoma, Tanzania in the year 2010.
• Revised BSc Mathematics programme for School of Mathematical Sciences in the University of Dodoma, Tanzania in the year 2012.
• Participated in MSc Mathematics programme revision at University of Dar es salaam in March, 2014.
• Participated in MSc Mathematical Modelling programme revision at University of Dar es salaam in March, 2014.
• Developed proposal for taught PhD programme for Department of Mathematics, University of Dar es salaam, 2015-16.
• Prepared “MSc (Industrial Mathematics)” program for University of Busitema, Uganda in 2014.

Web addresses

• Google Scholar: >???Santosh Kumar - ???Google Scholar
• Vidwan: https://vidwan.inflibnet.ac.in/profile/564004
• ORCID: https://orcid.org/0000-0003-2121-6428
• SCOPUS: https://www.scopus.com/authid/detail.uri?authorId=57218859828
• ResearchGate: drsengar2002@gmail.com
• Web of Science: ABC-1303-2020rcid.org/

Publications

Research Publications:

2025
1. Pendo Malaki, Santosh Kumar, M. Mursaleen, Solvability of Infinite Systems of Third Order Differential Equations in a Sequence Space n(f) using Techniques Associated with Measures of Non-compactness, Univers. J. Math. Appl., 8(1) (2025), 30-40. (SCOPUS).
2. Lucas Wangwe and Santosh Kumar, Common Fixed point Theorem for Hardy-Rogers-type Interpolative Mappings in b-Metric Space with Some Applications, Journal of Nonlinear and Convex Analysis, 26(4) (2025), 1057-1071. (SCIE/SCOPUS, IF: 0.7).
3. Aradhana Dutt Jauhari, Alka Munjal and Santosh Kumar, Absolute Linear Method of Summation with Weighted Mean, Journal of Interdisciplinary Mathematics, 1-12, https://doi.org/10.47974/JIM-1919 (SCOPUS).
4. Mohammad Imam Pasha, Kotha. Rama Koteswara Rao, Kavitha Nallasamy, Gunaseelan Mani, Santosh Kumar and Mangapathi Nerukonda, Solution of boundary value problem via C*-algebra valued bipolar metric spaces, Appl. Gen. Topol. 26, no. 1 (2025), 29-49, doi:10.4995/agt.2025.20078. (SCOPUS, ESCI).
5. Mohammad Sajid, Lucas Wangwe, Hemanta Kalita*, Santosh Kumar, Fixed point theorem on CAT_{p}(0) metric spaces with applications in solving matrix equation and fractional differential equations, AIMS Mathematics, 10(5): 11131–11158. DOI: 10.3934/math.2025505 (SCIE/SCOPUS, IF: 1.8)
6. Jonasi Chilonga and Santosh Kumar, Common fixed-point for a pair of Hardy-Rogers F- contractions in Quasi partial b-Metric space, Boletim da Sociedade Paranaense de Matemática, (Submitted 27/8/2022, Accepted 27/3/2023) (SCOPUS).
7. Jonasi Chilonga and Santosh Kumar, Fixed-point Theorems for Proinov-Suzuki contraction in Quasi partial b-Metric space, PJMS (Submitted 27/8/2022, Revised 27/6/2023, Accepted 20.4.2024) (SCOPUS).
8. S. Batul, M. Sohail Ashraf, Dur-e-Shehwar Sagheer, F. Mehmood, H. Aydi, Santosh Kumar, On Common fixed points for Geraghty contraction mappings and an application to integral equations, Carpathian Mathematical Publications (Submitted 08.09.2023, Accepted 27.08.2024).  (SCOPUS).
9. Pendo Malaki, Santosh Kumar and M. Mursaleen, On applications of measures of non-compactness in solvability of infinite system of third order differential equations in sequence space bv0, Commentationes Mathematicae Universitatis Carolinae (Submitted 26/02/2024, Revised 13/8/24, Accepted 5.11.2024).  (SCI/SCOPUS, IF: 0.82)
10. Jerolina Fernandez, Neeraj Malviya and Santosh Kumar, Some Fixed Point Results on Mb-Cone Metric Space Over Banach Algebra, Journal of Mathematical Sciences, (Submitted 18/04/2024, Revised 11.8.2024, acceptance 10.3.2025). (SCOPUS)
11. Bwire, Petro Samwel, Santosh Kumar, Marco Mpimbo and M. Mursaleen, On the modified Száz-Chlodovsky operator on weighted spaces, Filomat (Submitted, 04-09-2024, Revised 21.3.2025, Accepted 2/5/2025). (SCOPUS/SCIE, IF: 1.9)

2024
1. Menaha Dhanraj, Arul Joseph Gnanaprakasam and Santosh Kumar, Solving Integral Equations via Orthogonal Hybrid Interpolative RI-Type Contractions, Fixed Point Theory Algorithms Sci Eng., (2024) 2024:3 (SCOPUS).
2. Santosh Kumar and  Emmanuel Kapinga, Common Fixed Point Theorems Concerning F-Contraction Maps in Complete Cone b- Metric Space, Caspian Journal of Mathematical Sciences (CJMS), 12(2)(2023), 375-396.  http://cjms.journals.umz.ac.ir
3. Mohammad Imam Pasha, Kotha Rama Koteswara Rao, Gunaseelan Mani, Arul Joseph Gnanaprakasam and Santosh Kumar, Solving a fractional differential equation via bipolar parametric metric space, Journal of Mathematics,Volume 2024, Article ID 5533347, 10 pages https://doi.org/10.1155/2024/5533347 (SCIE/SCOPUS, IF: 1.3)
4. Aradhana Dutt Jauhari and Santosh Kumar, Approximation of Functions in the Generalized Zygmund Class using Product Means of Derived Fourier Series, Jnanabha Vol. 54(1) (2024), 295-305 (UGC Care).
DOI: https://doi.org/10.58250/jnanabha.2024.54136
5. Shabani Iddi Makwaru, M. Mpimbo and Santosh Kumar, Some Theorems on Topologically Transitivity and Periodic Points of Topological Dynamical Systems, Jnanabha, Vol. 54(1) (2024), 320-328. (UGC Care). https://doi.org/10.58250/jnanabha.2024.54139 
. Mesiya Simbeye, Santosh Kumar, and M. Mursaleen, Solvability of Infinite System of Integral Equations of Hammerstein Type in Three variables in tempering sequence spacesand , Demonstrio Mathematica 2024; 57: 20240025. https://doi.org/10.1515/dema-2024-0025 (SCI, SCOPUS, IF: 2.0).
7. Arul Joseph Gnanaprakasam, Gunaseelan Mani and Santosh Kumar, Technique of Tripled Fixed Point Results on Orthogonal G-Metric Spaces, Journal of Applied Mathematics, Volume 2024, Article ID 4702847, 10 pages, https://doi.org/10.1155/2024/4702847 (SCOPUS, Web of Science).
8. Pendo Malaki, Santosh Kumar, M. Mursaleen, and S. Rugeihyamu, Application of Measures of Non-compactness to Infinite Systems of Third Order Differential Equations in a Sequence Space l1, Journal of Nonlinear and Convex Analysis, 25(9) (2024),2397-2412. (SCIE/SCOPUS, IF: 0.7).
9.  Pendo Malaki, Santosh Kumar, M. Mursaleen, and S. Rugeihyamu, Solvability of Infinite System of Third Order Differential Equations in the Sequence Space c Using Meir-Keeler Condensing Operator, Fixed Point Theory Algorithms Sci. Eng., (2024) 2024:19. https://doi.org/10.1186/s13663-024-00772-3 (SCOPUS)
10. Mesiya Simbeye, Santosh Kumar, and M. Mursaleen, On Meir-Keeler Condensing Operators and Solvability of a System of Integral Equations in the Banach space BC(R+), Filomat 38:24 (2024), 8367–8378, https://doi.org/10.2298/FIL2424367S (SCIE, SCOPUS, IF : 0.8)
11. Lucas Wangwe and Santosh Kumar, Fixed Point Theorems for Multi-valued Non-self F-contraction Mappings in Metrically Convex Partial Metric Spaces, Palestine Journal of Mathematics, Vol 13(4)(2024), 75–90 (SCOPUS).
12. Richard Osward, Santosh Kumar, Approximation of Common Solutions for a Fixed Point Problem of a Finite family of Asymptotically Nonexpansive Mappings and a Generalized Equilibrium Problem in Hilbert Space, Jnanabha, Vol. 54(2) (2024), 351-364 (UGC Care).

2023
1. Lucas Wangwe and Santosh Kumar, Generalized Common fixed point theorem for weakly compatible mappings via implicit contractive relation in quasi-partial Sb-metric space with Application, Honam Mathematical J., 45 (2023), No. 1, pp. 1–24. https://doi.org/10.5831/HMJ.2023.45.1.1 (ESCI)
2. Santosh Kumar and David Aron, Common fixed point theorems for nonlinear non-self contractive mappings in convex metric spaces, Topological Algebra and Its Applications, vol. 11, no. 1, 2023, pp. 20220122. https://doi.org/10.1515/taa-2022-0122. (SCOPUS, ESCI)
3. Santosh Kumar and Jonasi Chilonga, Fixed-Point Theorems for w-y-interpolative Hardy-Rogers-Suzuki type contraction in a compact Quasi partial b-Metricspace, Journal of Function Spaces Volume 2023, Article ID 3911534, 12 pages, https://doi.org/10.1155/2023/3911534
4. Gunaseelan Mani, Arul Joseph Gnanaprakasam, Santosh Kumar, Ozgur Ege*, Manuel De La Sen, Fixed Point Theorems for Nonlinear Contraction in Fuzzy Controlled Bipolar Metric Spaces, Axioms 2023, 12, 396. https://doi.org/10.3390/axioms12040396 (SCOPUS/SCIE/IF: 1.824).
5. Senthil Kumar Prakasam, Arul Joseph Gnanaprakasam and Gunaseelan Mani and Santosh Kumar, Solving differential equation via orthogonal Branciari metric spaces, Journal of Function Spaces,Volume 2023, Article ID 4943412, 10 pages, https://doi.org/10.1155/2023/4943412 (SCOPUS/SCIE, IF: 1.807).
6. Sonu, Anil Kumar, and Santosh Kumar, Common Fixed-Point Theorem Using y -Weak Contraction for Eight Self-Mappings in Fuzzy Metric Space, Jnanabha, Vol. 53(1) (2023), 299-306 (UGC Care).
7. J. Uma Maheswari, A. Anbarasan, Gunaseelan Mani and Santosh Kumar, Some Common fixed point theorem of rational contractive mappings in Dislocated metric spaces, Topological Algebra and Its Applications, 2023; 11: 20220135, https://doi.org/10.1515/taa-2022-0135 (SCOPUS, ESCI)
8. Dur-e-Shehwar Sagheer, Samina Batul, Isma Urooj, Hassen Aydi, Santosh Kumar, New multivalued F-contraction mappings involvinga-admissibility with an application, Journal of Inequalities and Applications (2023) 2023:109, https://doi.org/10.1186/s13660-023-03016- (SCOPUS/SCIE, IF:2.021).
9. Lucas Wangwe and Santosh Kumar, Fixed Point Theorem for F-contraction Mappings in Partial Symmetric Space with Some Applications to Chemical Reactor Integral Equations, International Journal of Nonlinear Analysis and Applications, 14(10)(2023), 345–360, http://dx.doi.org/10.22075/ijnaa.2023.26881.3439 (SCOPUS)
10. Rijwan Khan, Santosh Kumar, Ankur Seem, Arpit Kumar Chauhan, Anubhav Gupta, Ensuring Food Security and Agriculture Demand using Machine Learning and Sensor based Technologies, Journal of Engineering, Science and Mathematics, Vol. 2(1), 40-56, (2023).
11. Alexander Evarist, Santosh Kumar, and M. Mursaleen, On Wavelets Kantorovich (p,q)-Baskakov Operators and Approximation Properties, Journal of Inequalities and Applications, (2023) 2023:134, https://doi.org/10.1186/s13660-023-03045-6 (SCOPUS/SCIE, IF: 2.02)
12. Pragati Gautam, Santosh Kumar, Swapnil Verma and Soumya Gulati, On Enriched Hardy-Rogers contraction in Banach space via Krasnoselskij iteration with an application, The Journal of Analysis, Vol 2023, 16 pages.https://doi.org/10.1007/s41478-023-00680-6.(SCOPUS, SCIE, IF: 0.698).
13. Alexander Evarist, Santosh Kumar, and M. Mursaleen, Statistical Approximation using Wavelets Kantorovich (p,q)-Baskakov Operators, Analysis, vol. 44, no. 2, 2024, pp. 105-114.   https://doi.org/10.1515/anly-2023-0028   (SCOPUS)
14. Peter Slaa, Santosh Kumar and M. Mpimbo, On direct sum of topologically transitive operators, Jnanabha, Vol. 53(2) (2023), 134-144. DOI: https://doi.org/10.58250/jnanabha.2023.53216  (UGC Care)

2022
1. David Aron and Santosh Kumar, Fixed point theorem for a sequence of multivalued nonself mappings in metrically convex metric spaces, Topological Algebra and Its Applications, 10, (2022), 1-12. (SCOPUS, ESCI)
2. Rijwan Khan, Akhilesh Kumar Srivastava, Mahima Gupta, Pallavi Kumari, Santosh Kumar, Medicolite-Machine Learning Based Patient Care Model, Computational Intelligence and Neuroscience, Article ID 8109147 (2022) 9 Pages. (SCIE, SCOPUS, IF 3.633)
3. Santosh Kumar and Faustine Nziku, Some Fixed Point Theorems for Boyd and Wong Type contraction mapping in Ordered Partial Metric Spaces with an Application, Journal of Function Spaces, Volume 2022, Article ID 7591420, 9 pages, https://doi.org/10.1155/2022/7591420 (SCOPUS, SCI, IF: 1.807)
4. Anju Panwar and Reena and Santosh Kumar, Fixed points of r-non-expansive mappings using MP iterative process, Advances in the Theory of Nonlinear Analysis and its Applications, 6 (2022) No. 2, 229-245. https://doi.org/10.31197/atnaa.980093 (SCOPUS)
5. Santosh Kumar and Johnson Kessy, Fixed Point Theorems for Hybrid Pair of Weak Compatible Mappings in Partial Metric Spaces, Mathematica Bohemica, Vol. 148, No. 2, pp. 223-236, 2023, doi: 10.21136/MB.2022.0197-20.  (SCOPUS, SCI)
6. Mohd Jubair, Javid Ali and Santosh Kumar, Estimating fixed points via new iterative scheme with an application, Journal of Function Spaces, Volume 2022, Article ID 3740809, 11 pages, https://doi.org/10.1155/2022/3740809 (SCOPUS, SCI, Impact factor: 1.807)
7. Pragati Gautam, Santosh Kumar, Swapnil Verma and Soumya
Gulati, On some w-Interpolative contractions of Suzuki type
mappings in Quasi-partial b-metric space, Journal of Function Spaces, Vol. 2022, Article Id. 9158199, 12 Pages. (SCOPUS, SCI, Impact factor: 1.807)
8. Pragati Gautam, Shiv Raj Singh, Santosh Kumar and Swapnil Verma, On nonunique fixed point theorems via interpolative Chatterjea type Suzuki contraction in quasi-partial b- metric space, Journal of Mathematics, Vol. 2022, Article ID 2347294, 10 Pages. (SCIE/SCOPUS IF: 1.555)
9. Lucas Wangwe and Santosh Kumar, Common fixed point theorem for generalized F-Kannan Suzuki type mapping in TVS valued cone metric space with applications, Journal of Mathematics, Volume 2022, Article ID 6504663, 17 pages, https://doi.org/10.1155/2022/6504663 (SCOPUS, ESCI, IF: 1.555).
10. Terentius Rugumisa and Santosh Kumar, Pair of Non-self Mappings and Common Fixed Points in Partial Metric Spaces, Jnanabha, Vol. 52(1) (2022), 124-133.  (UGC)
11. Lucas Wangwe and Santosh Kumar, Fixed point Results for Interpolative y -Hardy-Rogers type contraction mappings in quasi-partial b-metric space with some Applications, Journal of Analysis, (2022) 18 Pages,  https://doi.org/10.1007/s41478-022-00456-4 (SCOPUS).
12. Gunaseelan Mani, Arul Joseph Gnanaprakasam, Khalil Javed and Santosh Kumar, On orthogonal coupled fixed point results with application, Journal of Function Spaces, Article ID: 5044181, (2022), 7 Pages. (SCOPUS, SCIE, IF: 1.807)
13. Anju Panwar and Pinki Lamba, Santosh Kumar, Some convergence results using a new iterative algorithm in CAT(0) space, Results in Nonlinear Analysis, 5 (2022) No. 3, 263-272. https://doi.org/10.53006/rna.1097678 (SCOPUS)
14. Mohammad Asim, Santosh Kumar, Mohammad Imdad, Reny George, C*-Algebra Valued Quasi Metric Spaces and Fixed Point Results with an Application, Appl. Gen. Topol. 23, no. 2 (2022), 287-301, doi:10.4995/agt.2022.16783 (SCOPUS, SCIE, IF: 0.969).
15. Jerolina Fernandez, Neeraj Malviya, Santosh Kumar, Extended Nb-cone metric space over Banach algebra with an application, Topol. Algebra Appl. 2022; 10:94–102. (SCOPUS, ESCI)
16. David Aron and Santosh Kumar, Fixed point theorem for multivalued nonself mappings satisfying JS-contraction with an application, Ural Mathematical Journal, Vol.8 No. 1 (2022) pp. 3-12, DOI: 10.15826/umj.2022.1.001  (SCOPUS).
17. Penumarthy Parvateesam Murthy, Chandra Prakash Dhuri, Santosh Kumar,
Rajagopalan Ramaswamy*, Muhannad Abdullah Saud Alaskar, Stojan Radenovi'c, Common Fixed Point for Meir-Keeler Type Contraction in Bipolar Metric Space, Fractal Fract. 2022, 6, 649. https://doi.org/10.3390/fractalfract6110649 (SCI/SCIE/SCOPUS, I.F.: 4.555).
18. Pragati Gautam, Santosh Kumar, Swapnil Verma and Gauri Gupta, Existence of Common Fixed Point in Kannan F-contractive mappings in Quasi-Partial b-Metric Space, Fixed Point Theory and Algorithms for Sciences and Engineering, (2022) 2022:23, https://doi.org/10.1186/s13663-022-00734-7. (SCOPUS).
19. Lucas Wangwe and Santosh Kumar, Fixed point theorem for single-valued mapping in convex Partial symmetric spaces with an application, Konuralp Journal of Mathematics 10 (2) (2022) 332-340.
20. Santosh Kumar, Anita Tomar and Gopi Prasad, On solution of Fredholm and Volterra type nonlinear integral equations via discontinuous nonlinear contractions, Journal of Mathematics, Volume 2022, Article ID 7257000, 11 pages https://doi.org/10.1155/2022/7257000. (SCOPUS, SCIE, IF: 1.555)
21. Asaph Keikara Muhumuza, Rebecca Nalule Muhumuza and Santosh Kumar, Extreme-Fixed Points of the Vandermonde determinant on p-normed surfaces implicitly determined by a univariate orthogonal polynomials, Konuralp Journal of Mathematics, 10 (2) (2022) 355-367.
22. Wistad Sanga, Santosh Kumar and Marco Mpimbo, A note on Dendrite and Terminal periodic decomposition, Indian Journal of Mathematics,64(3)(2022), 305-321. (SCOPUS, IF: 0.593)

2021
. Neema Wilberth, Santosh Kumar and Marco Mpimbo, Hypercyclic Tuples of Matrices on , Electronic Journal of Mathematical Analysis and Applications (EJMAA) Vol. 9(2) July 2021, pp. 1-11.
2. Lucas Wangwe, Santosh Kumar, A Common Fixed Point Theorem for Generalised F -Kannan Mapping in Metric Space with Applications, Abstract and Applied Analysis, vol. 2021, Article ID 6619877, 12 pages, 2021. (SCOPUS, ESCI)
3. Lucas Wangwe and Santosh Kumar, Theoretical fixed point theorems on S-metric space under binary relation via implicit contractive condition with an application to integral equation, Malaya Journal of Matematik, 9(1) (2021), 1019-1028. (UGC)
4. Santosh Kumar and Luambano Sholastica, On Some Fixed Point Theorems for Multivalued F-Contractions in Partial Metric Spaces, Demonstratio Mathematica, 54 (2021), 151-161. (SCOPUS, Web of Science, SCIE, I.F.: 2.093)
5. Lucas Wangwe and Santosh Kumar, Some common fixed-point theorems for a pair of p-hybrid mappings via common limit range property in G-metric space, Results in Nonlinear Analysis 4 (2021) No. 2, 87-104, https://dergipark.org.tr/en/pub/rna /issue/60678/907704  (SCOPUS).
6. Reena Jain, Hemant Kumar Nashine, and Santosh Kumar, An implicit relation approach in metric spaces under w-distance and application to fractional differential equation, Journal of Function Spaces, Volume 2021, Article ID 9928881, 12 pages (SCOPUS, SCI, Impact factor: 1.807)
7. Lucas Wangwe and Santosh Kumar, Common Fixed Point Theorem for Hybrid Pair of Mappings in a Generalised (F, x, h)- contraction in weak Partial b - Metric Spaces with an Application, Advances in the Theory of Nonlinear Analysis and its Applications, 5 (2021) No. 4, 531-550. (SCOPUS)
8. Lucas Wangwe and Santosh Kumar, Fixed Point Theorems for Multi-valued a-F- contractions in Partial metric spaces with an Application, Results in Nonlinear Analysis, 4 No. 3, (2021), 130-148. (SCOPUS)
9. Lucas Wangwe and Santosh Kumar, Common fixed-point theorems under implicit contractive condition using E. A property on metric-like spaces employing with an arbitrary binary relation and an application to integral equation, Int. J. Nonlinear Anal. Appl., 13(2)(2022) 2325–2346, http://dx.doi.org/10.22075/ijnaa.2021.23494.2548 (ESCI, SCOPUS).
10. Santosh Kumar, Fixed Points and Continuity for a Pair of Contractive Maps in Metric Spaces with Application to Nonlinear Volterra-integral Equations, Journal of Function Spaces, Volume 2021, Article ID 9982217, 13 pages, https://doi.org/10.1155/2021/9982217 (SCOPUS, SCI, Impact factor: 1.807)
11. Lucas Wangwe and Santosh Kumar, Fixed point theorem for multi-valued nonself mapping in Partial symmetric spaces with an application, Topological Algebra and Its Applications, 9 (2021), 20–36. (SCOPUS)
12. Santosh Kumar, Richard Osward and Mengistu Goa Sangago, Extragradient Method Approximating a Common Solution for a Fixed Point and Variational Inequality Problems in Hilbert Space, Novi Sad Journal of Mathematics, 52(2) (2022), 17 Pages (SCOPUS, Web of Science) https://doi.org/10.30755/NSJOM.0957
13. Pragati Gautam, Santosh Kumar, Swapnil Verma and Gauri Gupta, Non-unique Fixed Point results via Kannan F-Contraction on Quasi-Partial b-Metric Space, Journal of Function Spaces, 2021(1):1-10, DOI:10.1155/2021/2163108. (SCOPUS, SCI, Impact factor: 1.807)
14. Rijwan Khan, Santosh Kumar, Niharika Dhingra, Mahima Gupta, Neha Bhati, Pallavi Kumari, Machine Learning and IoT Based Waste Management System, Computational Intelligence and Neuroscience, Article ID 5942574 (SCIE, SCOPUS, IF 3.633)
15. Sapna Katiyar, Rijwan Khan, Santosh Kumar, Artificial Bee Colony Algorithm for Fresh Food Distribution without Quality Loss by Delivery Route Optimization, Journal of Food Quality, Volume 2021, Article ID 4881289, 9 pages, https://doi.org/10.1155/2021/ 4881289 (SCOPUS, ESCI, IF: 2.45)
16. Santosh Kumar and Mohammed Asim, Fixed Point Theorems for a Pair of Ordered F-contraction mappings in Ordered Metric Spaces, Advances in Nonlinear Variational Inequalities, Vol. 25, No. 1, (2022), 17-28. (SCOPUS)
17. Lucas Wangwe and Santosh Kumar, Fixed point Theorem for S- f-Y- F-contraction Mappings in ordered Partial Metric Space with an Application to Integral Equation, Nonlinear Studies,28(1) (2021) 1207-1223. (SCOPUS)
18. Rijwan Khan, Santosh Kumar, Niharika Dhingra, Neha Bhati, The Use of Different Image Recognition Techniques in Food Safety: A Study, Journal of Food Quality, Volume 2021, Article ID 7223164, 10 pages, https://doi.org/10.1155/2021/7223164 (SCIE / SCOPUS)
19. Shashi Pauline and Santosh Kumar, Common Fixed point theorems for T-Hardy-Rodgers contraction mappings in complete cone b-metric spaces with an application, Topol. Algebra Appl. 2021; 9:105–117. (SCOPUS, ESCI)

2020
1. Melkiory Aloyce, Santosh Kumar and Marco Mpimbo, An Infinite-Dimensional Subspace of a Non-Normable and Separable Frechet Space, Electronic Journal of Mathematical Analysis and Applications (EJMAA), Vol. 8(2) July 2020, 240-252.
2. Santosh Kumar and Terentius Rugumisa, Fixed point theorem for mappings satisfying implicit relations in multiplicative metric spaces, Malaya Journal of Mathematics, Vol. 8(1) (2020), 216-221, DOI: 10.26637/MJM0801/0036.
3. Terentius Rugumisa and Santosh Kumar, Fixed Point Theorems for Non-Self Mappings in Multiplicative Metric Spaces, Konuralp Journal of Mathematics, 8(1) (2020), 1 – 6.

2019
1. Alfred Hugo, Oluwole Daniel Makinde, Santosh Kumar, An Eco-epidemiological Model for Newcastle Disease in Central Zone of Tanzania, Int. J. Computing Science and Mathematics, Vol. 10, No. 3 (2019), 215-235.                            (SCOPUS, Web of Science)
2. Faustine Nziku and Santosh Kumar, Fixed Points and Continuity of Boyd and Wong Type Contractive Maps, Electronic Journal of Mathematical Analysis and Applications (EJMAA), Vol. 7(2)(2019), 106-113.
3. Luambano Sholastica, Santosh Kumar and Grayson Kakiko, Fixed Points for F-contraction Mappings in Partial Metric Spaces, Lobachevskii Journal of Mathematics, 40(2) (2019) 183–188. (SCOPUS, Impact Factor-0.728)
4. Luambano Sholastica and Santosh Kumar, Fixed Points for an Ordered F-contraction mappings in Ordered Partial Metric Spaces, Electronic Journal of Mathematical Analysis and Applications (EJMAA), 7(2)(2019), 284-290.
5. Santosh Kumar and Terentius Rugumisa, Common Fixed Points of Non-self Mappings Satisfying Implicit Relations in Partial Metric Spaces, The Journal of Analysis, (2019). https://doi.org/10.1007/s41478-019-00173-5.                                                 (SCOPUS, Springer)
6. Neema Wilberth, Marco Mpimbo and Santosh Kumar, Somewhere Dense Orbit that is not Dense on a Complex Hilbert Space, Concrete Operators, 6 (2019) 58-63.
(SCOPUS, Impact Factor- 0.44)
7. Santosh Kumar, Coincidence Points for a Pair of Ordered F-contraction mappings in Ordered Partial Metric Spaces, Malaya Journal of Matematik, 7(3) (2019) 423-428.
8. Neema Wilberth, Marco Mpimbo and Santosh Kumar, Hypercyclic Pair whose Components are Direct Sums of Identical Hypercyclic Operators, Jnanabha, 49(1) (2019), 97-106.
9. Richard Osward, Santosh Kumar and Mengistu Goa Sangago, Approximation of Common Solutions for a Fixed Point Problem of Asymptotically Nonexpansive Mapping and a Generalized Equilibrium Problem in Hilbert Space, Journal of the Egyptian Mathematical Society, 27:43, (2019),1-16. https://doi.org/10.1186/s42787-019-0051-8.          (Springer)
10. Melkiory Aloyce, Marco Mpimbo and Santosh Kumar, On Scalar Multiples of Hypercyclic Operators on Non-Normable and Separable Frechet Spaces, Tanzania Journal of Science, 45(3) (2019), 431-438.
11. Faustine Nziku and Santosh Kumar, Boyd and Wong Type Fixed Point Theorem in Partial Metric Spaces, Moroccan J. of Pure and Appl. Anal. (MJPAA), 5(2) (2019), 235–246. (SCOPUS)

2018
1. Santosh Kumar and Johnson Kessy, Some fixed point theorems for two hybrid pairs of mappings in partial metric spaces, Journal of Analysis and Number theory, 6(1), (2018), 1-6.
2. Terentius Rugumisa, Santosh Kumar, Fixed Points of Non-Self Mappings in Partial Metric Spaces, Journal of Analysis and Number Theory, 6(1), (2018), 13-19.
3. Johnson Kessy, Santosh Kumar and Grayson Kakiko, Common Fixed Point Theorem For Weakly Compatible Mappings In Partial Metric Spaces, Nonlinear Analysis Forum, 23(2), (2018), 1–14.
4. Terentius Rugumisa, Santosh Kumar and M. Imdad, Common fixed points for four non-self-mappings in partial metric spaces,Mathematica Bohemica, Vol. 145, No. 1, pp. 45-63, 2020, DOI:  10.21136/MB.2018.0008-18.       (SCOPUS, Web of Science, Impact factor- 0.19)
5. Santosh Kumar, Terentius Rugumisa, Common Fixed Points of a Pair of Multivalued Non-self Mappings in Partial Metric Spaces, Malaya Journal of Matematik, Vol. 6, No. 4, (2018), 788-794.
6. Santosh Kumar and Terentius Rugumisa, Fixed Points for Non-Self Mappings in Multiplicative Metric Spaces, Malaya Journal of Matematik, Vol. 6, No. 4, (2018), 800-806.
7. Santosh Kumar, Terentius Rugumisa, Fixed Points for Hybrid Mappings Satisfying an Implicit Relation in Partial Metric Spaces, Jnanabha, 48(2) (2018), 14-18.

2017
1. Terentius Rugumisa and Santosh Kumar, Unique common fixed point theorem for pairs of multi-valued mappings in partial metric spaces, Advances in Fixed Point Theory, Vol. 7(3), (2017), 391-412.
2. Santosh Kumar and Terentius Rugumisa, An implicit relation for four non-self mappings in partial metric space, JnanabhaVol.47, No.1 (2017), 155-174.
3. Santosh Kumar, Terentius Rugumisa and M. Imdad, Common Fixed Points in Metrically Convex Partial Metric Spaces, Konuralp Journal of Mathematics, Vol. 5 (2)(2017), 56-71.
4. Johnson Kessy, Santosh Kumar and Grayson Kakiko, Fixed Points for Hybrid Pair of Compatible Mappings in Partial Metric Spaces, Advances in Fixed Point Theory, Vol. 7(4), (2017), 489-499.
5. Terentius Rugumisa and Santosh Kumar, Common Fixed Point of a Pair of Non-Self Mappings in Partial Metric Spaces, Nonlinear Analysis Forum, 22 (2), (2017), 29-43.
6. Santosh Kumar and Terentius Rugumisa, Common fixed points for four non-self-mappings, Jnanabha, 47 (II) (2017), 277-290.
7. Santosh Kumar and Johnson Kessy, Fixed Points of Hybrid Pairs of Non-self Mappings Satisfying an Implicit Relation in Partial Metric Spaces, TheAligarh Bulletin of Mathematics, 36(1-2)(2017), 57-71.

2016
1. Alfred Hugo, Isambi Sailon Mbalawata, Oluwole Daniel Makinde and Santosh Kumar, Parameter Estimation of Eco-epidemiological Model for Newcastle Disease in Tanzania, International Journal of Current Research Vol. 8, Issue 08, (2016), pp. 35910-35917.
2. Alfred Hugo, Oluwole Daniel Makinde, Santosh Kumar and Fred F Chibwana, Optimal Control and Cost Effectiveness Analysis for Newcastle Disease Eco-Epidemiological Model in Tanzania, J. Biological Dynamics, Vol.11 No. 1, (2016), 190-209.
(SCOPUS, Web of Science, Impact Factor- 1.71)

2015
1. Santosh Kumar, Some Fixed Points for Iterated Contraction Maps, J. Applied Functional Analysis, Vol. 10, No.'s 1-2 (2015), 31-39.

2014
1. Santosh Kumar, Some Applications of Fixed Point Theorems, Engineering Mathematics Letters, Vol 2014 (2014), Article ID 10.

2013
1. Santosh Kumar, A short survey of the development of fixed point theory, Surveys in Mathematics and Its Applications, Vol. 8, (2013), 91-101. (SCOPUS)
2. Santosh Kumar, A note on a fixed point theorem, Advances in Fixed Point Theory, Vol. 3(2) (2013), 439-442.
3. Rizwan Khan and Santosh Kumar, Using exploit patterns to develop secure software, VSRD International Journal of Computer Science & Information Technology, Vol. 3 (6) (2013), 257-260.

2012
1. Santosh Kumar, Approximating fixed point of generalized non-expansive mappings, International J. of Math. Sci. & Engg. Appls., Vol. 6 No. IV (2012), 361-367.

2009
1. Vinai K. Singh, Santosh Kumar, Mapping fp in normed linear spaces and   characterization of orthogonality problem of best approximation in 2-norm, General Mathematics Vol. 17, No. 2 (2009), 73–85, (MR2520827 (2010g:46012)) (Zbl 1199.41185).

2008
1. Vinai K. Singh, Santosh Kumar, Iteration process with errors for local strongly H-accretive type mappings, Fixed Point theory, 9(1) (2008), 351-362. (MR2421747 (2009k:47189)) (>Zbl 1222.47116).  (SCOPUS, Impact Factor-0.462)
2. Vinai K. Singh, Santosh Kumar and A. K. Singh, (a, b) -Lp 2 -norm orthogonality and characterizations of 2 - inner product spaces, , 3(4) (2008), 485-495(MR2387475 (2009c:46036)).

2007
1. Santosh Kumar, Remarks on certain selected fixed point theorems - II, Kathmandu J. Sc. Engg. Tech., Vol. 1 (IV) (2007), DOI: 10.3126/kuset.v3i2.2894.
2. Santosh Kumar and K. Jha, Remarks on fixed point theorem under implicit relations, The Nepali Mathematical Sciences Report, 27 (1-2), 2007 (MR2445222).

2006
1. M. Imdad, Javid Ali, Santosh Kumar, Rhoades type fixed point theorems in normed linear spaces, Mathematical Sciences and Appl., (2006) 23-31.

2005
1. D. R. Sahu, M. Imdad and Santosh Kumar, Fixed point iteration process for nonlipschitzian nearly non-expansive mappings, J. Indian Math. Society, 72(2005), 203-210 (MR2291489 (2007m:47141)). (SCOPUS)
2. Santosh Kumar, M. Imdad, A general common fixed point theorem without continuity, J. Indian Acad. Math., 27 (2) (2005) 215-229 (MR2259518 (2007d:54030)).

2004
1. D. R. Sahu, M. Imdad, Santosh Kumar, Fixed point theorems in symmetrizable topological spaces, Nonlinear Analysis Forum, 9(1)(2004), 97-107 (MR2111370 (2005h:54048)).
2003
1. M. Imdad, Santosh Kumar, Common fixed point theorems for four non-self mappings, J. Indian Math. Society,70 (2003), 97 – 111(MR2289312).                           (SCOPUS)
2. M. Imdad, Santosh Kumar, Rhoades type fixed point theorems for a pair of non-self mappings, Jour. of computers Math. Appl., 46(2003), 919-927(MR2020449 (2004h:47082)).                                  (SCOPUS, Web of Science, Impact factor-3.476)
3. M. Imdad, Santosh Kumar, Boyd and Wong type fixed point theorems for two pairs of non-self mappings, Nonlinear Analysis Forum, 8(1) (2003), 69-78 (MR2039337).

2002
1.M. Imdad, Santosh Kumar, M. S. Khan, Remarks on some fixed point theorems satisfying implicit relations, Radovi Matematicki, 11(1)(2002), 135-143(MR1971330),(New Name: Sarajevo Journal of Mathematics).

2001
1. M. Imdad, Aqeel Ahmad and Santosh Kumar, On nonlinear non-self hybrid contractions, Radovi Matematicki., 10(2)(2001), 233-244 (MR1981096),(New Name: Sarajevo Journal of Mathematics).

Research Papers as Book Chapter:

• Santosh Kumar and Terentius Rugumisa, Rhoades type fixed point theorem for Partial Metric Spaces (Chapter-9), Recent Advances in Fixed Point Theory and Applications, Nova Science Publishers USA, (2017)135-148, ISBN: 978-1-53612-085-1. (SCOPUS)
• Santosh Kumar and Terentius Rugumisa, Fixed Point Theorem for Multivalued Mappings with Rational Expressions in Complete Partial Metric Spaces, (Chapter-4) Fixed Point Theory and its Applications Real World Problems, (2021), 51-70. (SCOPUS) ISBN: 978-1-53619-336-7.
• Lucas Wangwe and Santosh Kumar, Common Fixed Point Theorem for Multivalued Mappings in Weak-partial b-metric space with an Application, FIAM-2023 Conference Proceedings, 35 Pages, ISBN 978-981-96-2578-9 ISBN 978-981-96-2579-6 (eBook) https://doi.org/10.1007/978-981-96-2579-6.
• Lucas Wangwe and Santosh Kumar, Fixed point theorems for FC - Geraghty type contraction on S-metric space with some application, Advancement of Banach Contraction Principle,  (SCOPUS) https://doi.org/10.1007/978-981-96-4847-4_20
• Santosh Kumar and Shashi Pauline, Some Coincidence and Common Fixed Point Theorems in Complete Cone b-Metric Spaces for Weakly Compatible Mappings with an Application, Advancement of Banach Contraction Principle, (SCOPUS) https://doi.org/10.1007/978-981-96-4847-4_19
• Mesiya Simbeye, Santosh Kumar, and M. Mursaleen, On Meir-Keeler Condensing Operators and Solutions of Infinite Systems of Integral Equations in N-Variables in Sequence Space c0 and l1, Nova Science Book Chapter, (Submitted, 4/3/2024,Accepted 17.8.2024).
• Santosh Kumar and Emmanuel Kapinga, Some Common Fixed Point Theorems for Hardy-Rogers Type Contraction in Complete Cone b-Metric Spaces, De Gruyter Publishers, (Submitted, 11/01/2024, Accepted).
• Santosh Kumar and Shashi Pauline, Common Fixed Point Theorems of C´iric´ Type Weak Contractions in Cone b-metric Spaces with an Application, De Gruyter Publishers, (Submitted, 13/01/2024, Accepted).

Conference Papers:

• Santosh Kumar, Terentius Rugumisa, A Fixed Point Theorem for Multivalued Mappings in Complete Partial Metric Spaces, Proceedings of the third EAUMP conference under the theme: advances in mathematics and its applications held at Makerere University, Kampala Uganda from 26th to 28th October, 2016.
• Santosh Kumar and Silas C. Ruth, Numerical Comparison of Convergence Among Fixed Point Iteration Processes in for real valued Functions, Proceedings of the third EAUMP conference under the theme: advances in mathematics and its applications held at Makerere University, Kampala Uganda from 26th to 28th October, 2016.
• Eunice Mureithi, Santosh Kumar, Makungu James and Aweza Fundi, Numerical Solution of a Singularly Perturbed Heat Equation Using Galerkin Finite Element Method, Proceedings of the third EAUMP conference under the theme: advances in mathematics and its applications held at Makerere University, Kampala Uganda from 26th to 28th October, 2016.
• Emmanuel Niyigaba, Joyati Debnath and Santosh Kumar, Feedback Linearization and Optimal Control of Electromagnetic Ball Suspension System (EMBSS), Hawaii University International Conference, 2017.
• Emmanuel Niyigaba, Joyati Debnath and Santosh Kumar, Linearization and Optimal Control Flow in Electromagnetic Ball Suspension System, Proceeding of PHYSCON 2017.
• Santosh Kumar and Terentius Rugumisa, Common Fixed Points for Hybrid Mappings Satisfying an Implicit Relation in Partial Metric Spaces, SAMSA Conference, 2017, Arusha, Tanzania.
• Santosh Kumar and Terentius Rugumisa, Common Fixed Points of pair of non-self mappings in Partial Metric Spaces, SAMSA -2018, Botswana International University of Science and Technology, Palapye, Botswana.

Books Published:   

• Santosh Kumar, Computer Based Numerical and Statistical Techniques, S. Chand Publications (2007), ISBN-10: 81-219-2939-3, ISBN-13: 9789352833986.
• Peter V. O Neil and Santosh K. Sengar, A Text Book on Engineering Mathematics Vol. 2, Cengage Learning (2008) (Coauthor: Peter V. O Neil, Albama University, U.K), ISBN-13: 978-81-315-0424-6, ISBN-10: 81-315-0424-7.
• Peter V. O Neil and Santosh K. Sengar, A Text Book on Engineering Mathematics Vol. I, Cengage Learning (2008) (Coauthor: Peter V. O Neil, Albama University, U.K), ISBN-13: 978-81-315-0692-9, ISBN-10: 81-315-0692-4.
• Peter V. O Neil and Santosh K. Sengar, A Text Book on Engineering Mathematics Vol. III, Cengage Learning (2009) (Coauthor: Peter V. O Neil, Albama University, U.K), ISBN-13: 978-81-315-1189-3, ISBN-10:  81-315-1189-8.
• Peter V. O’ Neil, Santosh K. Sengar, Rakesh Mohan, A Text Book on Engineering Mathematics Vol. I1(UTU), Cengage Learning (2010) (Coauthor: Peter V. O Neil, Albama University, U.K and Rakesh Mohan, DIT Dehradun, India), ISBN-13: 978-81-315-1330-9, ISBN-10: 81-315-1330-0.
• Santosh Kumar, C++ Programming with Numerical Techniques, S. Chand Publications India (2010), ISBN-10: 81-219-3610-1, ISBN-13: 9788121936101.
• Santosh K. Sengar, S. P. Singh, Advanced Calculus, Cengage Learning (2011) (Coauthor: S. P. Singh, St. Memorial University, New Found land, Canada), ISBN-13: 978-81-315-1540-2, ISBN-10: 81-315-1540-0 (10).
• Ajay Mittal, Naveen Agarwal, Santosh Kumar and V. Anand, Computer Science and Information Technology (for GATE), Cengage Learning India, 2014.
• Anbu Kumar, M Ashok Kumar, Santosh Kumar and V. Anand, Civil Engineering (for GATE), Cengage Learning India, 2014.
• Sandeep Joshi, Naveen Babu, Santosh Kumar and V. Anand, Electrical Engineering (for GATE), Cengage Learning India, 2014.
• Sandeep Joshi, Naveen Babu, Santosh Kumar and V. Anand, Electronics and Communication Engineering (for GATE), Cengage Learning India, 2014.
• Nilanjan Mallik, Santosh Kumar and V. Anand, Mechanical Engineering (for GATE), Cengage Learning India, 2015.

Books/ Journals Edited:

• Artificial Intelligence and Natural Algorithms, Bentham Science Publications, USA. (2022). ISBN: 978-981-5036-10-7 (Print), ISBN: 978-981-5036-09-1 (Online). DOI:10.2174/97898150360911220101
• Special Issue entitled “Emerging Trends in Artificial Intelligence with Machine Learning and Nature Inspired Algorithms” for American Journal of Artificial Intelligence, Journal of Science Publication Group,   >https://www.sciencepublishinggroup.com/specialissue/specialissueinfo?specialissueid=542005&journalid=542 .
• Special Issue entitled “Artificial Intelligence in Smart Agriculture” for Journal of Computer Science, Science Publications, https://thescipub.com/jcs/special-issue/49284 ( Scopus Indexed).
• Special Issue entitled “Complexity and Uncertainty in Big Data Analytics, and Machine Learning in Real World Applications”, International Journal of Electrical and Electronics Research, Forex Publication, https://ijeer.forexjournal.co.in/special-issue-complexity-bda-ml.php  (Scopus Indexed).
• Editor in special Issue, “Unique and Non-Unique Fixed Points and their Applications”,Journal of Function Spaces, Impact factor 1.807, Hindawi 2021, https://www.hindawi.com/journals/jfs/si/695380/
• Lead Editor in special Issue, Fixed Point Techniques and Applications to Real World Problems, Journal of Function Spaces, Hindawi 2021-March, 04, 2022. https://www.hindawi.com/journals/jfs/si/575812/
• Editor in special Issue, Unique and Non-unique Fixed Points and Their Application-2022, Journal of Function Spaces, Hindawi, 2022. https://www.hindawi.com/journals/jfs/si/674891/
• Lead guest editor in special issue “Recent Developments in Fixed-Point Theory and Applications”, Demonstrio Mathematica, De Gruyter press, 2023.

Seminar, Conferences:        

1.   International Conference on Algebra and its Applications held at A.M.U., Aligarh, from Nov. 13, 1997 to Nov. 16, 1997.
2.   Conference on Analysis and Allied Topics held at A.M.U., Aligarh from Aug. 27, 1998 to Aug. 29, 1998.
3.   Conference on Recent Developments in Relativity and Allied Topics held at A. M. U., Aligarh from Aug. 30, 1999 to Sept.01, 1999.
4.  Emerging Trends in Mathematics held at A. M. U. Aligarh from March 24, 2001 to March 26, 2001.
5.   67th Annual Conference of Indian Mathematical Society   held at A. M. U., Aligarh from Jan. 27, 2002 to Jan.30, 2002.
6.   Conference on Recent trends in Algebra and Analysis, held at A.M.U. Aligarh from March 3, 2003 to March 5, 2003.
7.  National Conference on Modern Analysis and Allied Areas, held at B.H.U. Banaras from Feb. 23, 2007 to Feb. 24, 2007.
8.   International Conference on Advances in Mathematics: Historical Developments and Engineering Applications held at G.B. Pant University of Agriculture and Technology, Pantnagar from Dec. 19 to Dec. 22, 2007.
9.   International Conference on Analysis and its Applications (ICAA-08) held at A.M.U., Aligarh, from Nov. 03, 2008 to Nov. 05, 2008.
10. The Eastern Africa Universities Mathematics Programme (EAUMP): The 2ND EAUMP Conference held at The Nelson Mandela African Institute of Science and technology, Arusha, Tanzania from August 22nd - 25t h, 2012.
11. HEI-ICI, Arusha Workshop on Mathematics Educations and Its Relevance held at The Nelson Mandela African Institute of Science and technology, Arusha, Tanzania from June 24th   to July 5th, 2013.
12. The Mathematical Modeling Conference, 2013, held at University of Dar es salaam, Tanzania from Dec. 19, 2013 to Dec. 20, 2013.
13.  East Africa Universities Mathematics Programme Summer School on Representation Theory, held at Arusha Technical College from July 7th to July 25th, 2014, Arusha, Tanzania.
14. HEI-ICI, Kampala Workshop on Mathematics Educations and Its Relevance held at Makerere University, Kampala, Uganda from Dec. 08-12, 2014.
15. TurnItIn Anti-Plagiarism Software Training held at University of Dar es Salaam, Tanzania from Nov. 17-19, 2014.
16. The third EAUMP conference under the theme: advances in mathematics and its applications held at Makerere University, Kampala Uganda from 26th to 28th October, 2016.
17. 19th Annual Conference of Vijnana  Parisad of India on Recent advances in Mathematics and Mathematical Sciences and their Applications (RAMMSA 2016) & Symposium on Fixed Point Theory and Applications held at Hemwati Nandan Bahuguna Garhwal University, Pauri Campus, Pauri (Uttarakhand)-246001 (A Central University) from November 10-12, 2016.
18. Research Supervision Training Workshop held at University of Dar es Salaam, Tanzania from May 15-17, 2017.
19. Conference of the Southern Africa Mathematical Sciences Association - SAMSA2017, hosted by University of Dar es Salaam in Arusha, Tanzania from November 20 - 23, 2017.
20. Research Supervision Training Workshop held at University of Dar es Salaam, Tanzania from March 13-14, 2018 and April, 10-11, 2018.
21. Conference of the Southern Africa Mathematical Sciences Association - SAMSA2018, hosted by Botswana International University of Science and Technology, Palapye, Botswana, from November 19 - 23, 2018.
22. International e-Conference on Fixed Point Theory and its Applications to Real World Problems (FPTARWP2020), held at Department of Mathematics, Government Post Graduate College Maldevta, Raipur Dehradun (Uttarakhand) India, June 27, 2020.
23. Attended a “Mathematical Software Training program” organized by Department of Mathematics, University of Dar es Salaam, Tanzania and supported by SIDA mathematics project dated October 19-30, 2020.
24. Online International Conference on “History and Development of Mathematics” (ICHDM2020) held at Department of Mathematics Maharshi Dayanand University Rohtak-124001, Haryana, India, December 22, 2020.
25. International Seminar on Application of Higher Mathematics in Computer Science and Real Life, Government College Timarni, Harda, M.P., India, March 25, 2021.
26. Chaired a session in ICAA_NEPAL_2021, on April 10, 2021.
27. Keynote Speaker on the topic “Fixed Point Theory and It’s Applications” in the 3rd International Conference on Recent Trend on Science and Technology (ICRTST-2021) held at Maa Shakumbari Trust, Greater Noida, U P, India, June 19, 2021.
28. Keynote speaker on the topic “Fixed Point Theory and It’s Recent Applications” in 27th International Conference International Academy of Physical Sciences (CONIAPS XXVII) on "Mathematics and Science in Ancient India" organized by Vikram University, Ujjain (M.P.)- INDIA from October 26-28, 2021.
29. Keynote speaker on the topic “Recent Trends in Mathematics Education -in the Context of NEP-2020” in International E-Seminar on " Recent Trends in Mathematics education - in the context of NEP-2020 " organized by Department of Mathematics, (Pandit Lalit Mohan Sharma Campus Rishikesh), Sri Dev Suman Uttarakhand University Badshahithaul, Tehri Garhwal, Uttarakhand, India held on December 22, 2021.
30. Delivered an invited talk on “Some Applications of Advanced Mathematics” at Department of Mathematics, Babu Banarasi Das Northern India institute of Technology, Lucknow on December 22, 2021. 
31. Keynote speaker in the session of “International Webinar on Mathematics as Backbone of every research and development”, organized by The Bhopal School of Social Sciences dated December 29, 2021.
32. Keynote speaker in International Seminar on “Real Life Applications and Impact of Mathematics & Computer Science”, organized by Government College Timarni, Harda, M.P., India, February 25, 2022.
33. Keynote Speaker on the topic “Recent Applications of Fixed Point Theory” in the 4th    International Conference on Recent Scientific and Technological Trend (ICRTST-2022) held at Maa Shakumbari Trust, Greater Noida, U. P., India, April 23-24, 2022.
34. Delivered a talk titled “An introduction to Fixed Point Theory and its applications” in the “Norhed II MATH4SDG workshop on alignment of university mathematics research and education with industrial needs held at University of Dar es Salaam, Tanzania from 15th – 17th February, 2023.
35. Delivered a talk titled “An introduction to Fixed Point Theory and its Applications” in the “24thAnnual Conference of Vijnana Parishad of India, held at D.V. College Urai (Jaluan), U.P., India, from 28th – 30th April, 2023.
36. Delivered a talk titled “A Brief introduction to Fixed Point Theory and its Applications” in the “International Conference on Recent Advances in Mathematics and It’s Application in Interdisciplinary Areas held at Sri Dev Suman Uttarakhand University Badshahithaul, Tehri Garhwal, Uttarakhand, India, May 13, 2023.
37. Delivered an invited talk titled “Common Fixed point Theorem for Hardy-Rogers-type Interpolative Mappings in b-Metric Space with Some Applications” in the International Conference on Analysis and its Applications (ICAA-2024), held at Department of Mathematics, Jamia Millia Islamia, New Delhi-110025, India, January 19-21, 2024.
38. Attended two day workshop on “Content and Curriculum Development in the Spirit of NEP-2020” held at North-Eastern Hill University, Shillong, Meghalaya-793022 dated May 1-2, 2024.
39. Organized “Yuvamanthan Model United Nations (YMUN)” programme at North-Eastern Hill University, Shillong, Meghalaya-793022, on June 7, 2024.
40. Organized HCL Tech Grant Symposium in collaboration with CSR Box at North-Eastern Hill University, Shillong, Meghalaya-793022 dated June 21, 2024.
41. Acted as Resource person in research orientation programme Änusandhan-2nd Edition” and delivered a talk on “Research Problem Design and Paper Writing Techniques for Scholar’s” organised by R&D Cell, North-Eastern Hill University, Shillong, Meghalaya-793022, at NEHU, Tura campus dated September 18, 2024.
42. Delivered an invited talk titled “Fixed Point Theory and It's Recent Applications” in the International Conference on Mathematical Sciences and its Applications (ICMSA 2024) held at Department of Mathematics, Sri Guru Tegh Bahadur Khalsa College, University of Delhi, Delhi-110007, Oct. 15-17, 2024.
43. Delivered an invited talk titled “Applications of Mathematics in Artificial Intelligence” in the International Seminar held at Department of Applied Mathematics, SRM University, Sonepat, Haryana, Oct. 16, 2024.
44. Attended CSR&ESG Summit 2024 held at hotel Pullman, Aerocity, New Delhi from Oct 17-18, 2024.
45. Chaired a session in the International Conference on Emerging Frontiers in Mathematical and Computational Sciences (EFMCS-24) held at Department of Mathematics, North-Eastern Hill University, Shillong, Meghalaya-793022, from Oct. 24-26, 2024.
46. Delivered an invited talk titled “100+ years of Banach Fixed Point Theorem” in the “International Conference on Advances in Mathematics and Its Applications (ICAMA-2024)” held at Department of Mathematics, Manipur University, Canchipur, Imphal, Manipur, Dec. 6-7, 2024.
47. Delivered an invited talk titled “Some Applications of Advanced Mathematics” in the “International Seminar on Recent Trends in Mathematics and its Potential Contribution to Other Disciplines (ISRTMPCD – 2024)”, P.B.S. College, Banka, Bihar, Dec. 14-15, 2024.
48. Delivered an invited talk titled “Some Applications of Advanced Mathematics” in the “New Horizons in Mathematics: Recent Advances and Future Directions-I” organized by Division of Mathematics, School of Basic Sciences, Galgotias University, Greater Noida, U.P., India., Jan. 20-25, 2025.
49. Attended workshop on Pedagogy Workshop conducted by CBDE project held at Tezpur University, Assam from March 18-19, 2025.
50. Delivered an invited talk titled “Fixed Point Theory and It’s Applications” in the Department of Mathematics and Computer Science, Mizoram University, Aizawl, India, dated April 24, 2025.
51. Delivered an invited talk titled “A Century of the Banach Contraction Theorem: Foundations and Advances” in International Conference on Mathematical Sciences and Engineering (ICMSE-2025) held at Department of Mathematics and Computer Science, Mizoram University, Aizawl, India, dated June 9-11, 2025.
52. Chaired a session in International Conference on Mathematical Sciences and Engineering (ICMSE-2025) held at Department of Mathematics and Computer Science, Mizoram University, Aizawl, India, dated June 9-11, 2025.