Prof. Santosh Kumar

Designation: Professor

Department: Mathematics

Qualifications:

MSc (Mathematics) Dr. B. R. Ambedkar University Agra, 
P.D.C.A., M. Phill (1999), PhD (2002) (Mathematics) A.M.U. Aligarh.

Title of M. Phil.: "Fixed Point theorems in Probabilistic Metric Spaces".
Title of Ph. D.: "Some contributions to metric fixed point theory".

Teaching Experience:

22 years

Area of Interest

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

Awards:

  1. Certificate of Appreciation in Research (2019) at University of Dar es Salaam, Tanzania.
  2. Best Researcher Award (2023) of the College Natural and Applied Sciences at University of Dar es Salaam, Tanzania.

Ph.D. Awarded/Supervised: 3 (Three)

  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).

MSc/M. Phil. Awarded:  26 (Awarded)

S.No. Name of Student Title Year
1. Alberto Kimbuya Mathias
HD/UDOM/710/T.2010
Brouwer’s Type Fixed Point Theorems and Its Applications 2012
2. Frank Ezekiel Ochanga
HD/UDOM/713/T.2010
Computational Techniques of Nonlinear Elliptic Equations Using Perturbation Methods
(Co-supervisor Dr. John Ham, St. Johns University)
2012
3. Matao Paul M.
HD/UDOM/591/T.2011
Some Fixed Point Theorems For Multivalued Maps   2013
4. Mhanga Johari
HD/UDOM/597/T.2011
Some Fixed Point Theorems for Iterated Contraction Maps 2013
5. Silas, C. Ruth
2013-06-01348
A Comparison of convergence among various Iteration Processes 2015
6. Mohamed Hemed Mohamed
AIMS141500353
Laplace's Equation with Application in Electrostatics
(African Institute for Mathematical Sciences, Tanzania)
2015
7. Fundi, Awenza
2013-06-01342
Numerical Simulation of Singularly Perturbed Parabolic Partial Differential Equations Using Finite Element Method (Co-supervisor: Prof. E.W. Mureithi, University of Dar es salaam, Tanzania) 2016
8. Oluwaseyi Malonia Ajiboye
AIMS151601121
Modelling the Motion of Mass Spring System
(African Institute for Mathematical Sciences, Tanzania)
2016
9. Kessy, Johnson Allen
2015-06-01465
Some Fixed Point Theorems for Hybrid Maps in Partial Metric Spaces 2017
10. Niyigaba Emmanuel
2015-06-02171
Mathematical Modelling and Analysis of Electromagnetic - Ball –Suspension Control System
(Co-supervisor: Prof. Joyati Debnath, Department of Mathematics, Winona State University, USA)
2017
11 >Luambano, Sholastica
2016-06-00302
Fixed Point Theorems of F-contraction type mappings in Partial Metric Spaces 2018
12 >Nziku, Faustine
2016-06-00298
Boyed and Wong Type Fixed Point Theorems in Partial Metric Spaces 2018
13 >Aloyce, Melkiory M.
2016-06-00296
Hypercyclic and Chaotic operators on Fr´echet Spaces
(Co-supervisor: Dr. M. Mpimbo)
2018
14 >Wilberth, Neema
2016-06-00293
 Somewhere Dense and Dense Orbits on Hilbert Space
(Co-supervisor: Dr. M. Mpimbo)
2018
15 Richard Osward
2017-06-00893
Further Investigation on Fixed Point, Variational Inequality and Equilibrium Problems
Co-guide: Dr. Mengistu Goa Sangago, Addis Ababa University, Ethiopia
2019
16 Kaunga, David Aron
2018-06-02095
Investigation of Some Fixed Point Theorems in Metrically Convex Metric Spaces 2020
17 Mweyunge, Revocatus Vedasto
2018-06-00314
Investigation of Continuous and Complete distributive Lattices (Co-supervisor: Dr. M. Mpimbo) 2020
18 Shashi Pauline
2019-06-02411
An Investigation on Some Fixed Point Theorems in Cone Metric Spaces 2021
19 Sanga Wistad
2019-06-02376
An Investigation on Periodic Points and Topological Transitivity on Dendrites (Co-supervisor: Dr. M. Mpimbo) 2021
20 Chilongola, Jonasi Douglas
2020-06-00146
An investigation on fixed point theorems in quasi partial b-metric space 2022
21 Kapinga, Emmanuel Adam
2020-06-00982
A study of some Fixed Point Theorems in cone b-metric spaces 2022
22 Makwaru, Shabani Iddi
2020-06-00346
An investigation of Some Aspects of Topological Dynamical Systems 2022
23 Evarist, Alexander
2021-06-01215
Construction of Kantorovich Modification of (p,q)-Baskakov Operators by Wavelets and Approximation Properties (Co-guide: Prof. M. Mursaleen, A. M. U. Aligarh, India) 2023
24 Kalabaheleye, Pendo Malaki
2021-06-01168
Solvability of Differential Equations via Techniques of Measures of non-compactness
(Co-guide- Dr. S. Rugeihyamu & Prof. M. Mursaleen, A. M. U. Aligarh, India)
2023
25 Simbeye, Mesia Aston
2020-06-02330
Measures of non-compactness and applications to the solutions of integral equations
(Co-guide- Dr. M. Mpimbo & Prof. M. Mursaleen, A. M. U. Aligarh, India)
2023
26 Slaa, Peter Masong
2021-06-01892
An investigation of topological transitivity and hypercyclic operators on linear dynamical system
(co-guide- Dr. M. Mpimbo)
2023

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 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 responsibilities undertaken:

  • 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.

Examiner of MSc/MPhil. Dissertations: 15
Examiner of PhD Thesis: 9

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.

Publications

Journal Articles 107 (Till Aug. 2023)
Conference Proceedings 7
Communicated 45

Some recent Publications:

  • 2023
  1. 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, (Accepted 27/3/2023).
  2. 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 (In Press).
  3. 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.
  4. Jonasi Chilonga and Santosh Kumar, 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
  5. 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
  6. 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
  7. 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.
  8. 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.
  9. 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.
  10. 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, In Press, 1–16, http://dx.doi.org/10.22075/ijnaa.2023.26881.3439.
  • 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.
  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.
  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.
  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
  5. Santosh Kumar and Johnson Kessy, Fixed Point Theorems for Hybrid Pair of Weak Compatible Mappings in Partial Metric Spaces, Mathematica Bohemica, June, 2022, doi: 10.21136/MB.2022.0197-20.
  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
  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.
  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.
  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
  10. Santosh Kumar and Terentius Rugumisa, Pair of Non-self Mappings and Common Fixed Points in Partial Metric Spaces, Jnanabha, Vol. 52(1) (2022), 124-133.  
  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  
  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.
  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
  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
  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.
  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
  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
  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.
  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.
  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.
  • 2021
  1. 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 KumarA 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.
  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.
  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.
  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
  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
  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.
  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.
  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., Page. 1–22, http://dx.doi.org/10.22075/ijnaa.2021.23494.2548
  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
  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.
  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 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
  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
  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
  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.
  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.
  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
  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.

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.

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, Fixed point theorems for FC - Geraghty type contraction on S-metric space with some application, Advancement of Banach Contraction Principle and It’s Applications, (Accepted, 2023).
  • Shashi Pauline and Santosh Kumar, Some Coincidence and Common Fixed Point Theorems in Complete Cone b-Metric Spaces for Weakly Compatible Mappings with an Application, NOVA Science Publishers, (Accepted, 2023)

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. 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. 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. 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.
  24. International Seminar on Application of Higher Mathematics in Computer Science and Real Life, Government College Timarni, Harda, M.P., India, March 25, 2021.
  25. Chaired a session in ICAA_NEPAL_2021, on April 10, 2021.
  26. 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.
  27. 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.
  28. 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.
  29. 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.  
  30. 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.
  31. 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.
  32. 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.
  33. Attended Mathematical Software Training organized by the department of mathematics, University of Dar es Salaam, Tanzania from Oct. 19 to Oct. 30, 2020.
  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.