Prof. Santosh Kumar
Professor
Department of Mathematics
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".
Nonlinear Functional Analysis(Metric Fixed-Point Theory), Approximation Theory, Variational Inequalities, Operator Theory, Mathematical Modelling.
Experience: 24+ years
Honors/Awards:
Ph.D. Awarded /Supervised: 3 (Three) awarded, 5 (Five) under supervision
MSc/M. Phill. Awarded: 39 (Awarded), 4 under supervision
| 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 |
| 27 | Buyenze, Clement John 2022-06-02021 |
On an extension of approximation properties of sampling series to some functional spaces | 2024 |
| 28 | Bwire, Petro Samwel 2022-06-02486 |
An application of Bernstein polynomials in solving differential equations | 2024 |
| 29 | Issa, Fatma Mohammed 2021-06-00232 |
An investigation of F - contractions maps in nonlinear functional Analysis | 2024 |
| 30 | Juma, Mudathiru Hassan 2022-06-00284 |
An investigation of some generalized contractions in nonlinear functional analysis | 2024 |
| 31 | Medard, Projestus Rwebangira 2022-06-00543 |
Interpolative approach to solve Functional Equation using Non-linear functional analysis Techniques. | 2024 |
| 32 | Wallamjingshai Khardewsaw 22MScMTH29 | A Survey on F-Contraction mappings and its application | 2024 |
| 33 | Shimtilari Marbaniang 22MScMTH33 | A Survey on Banach Contraction principle and its variants | 2024 |
| 34. | Labethun Suchiang 22MscMTH40 | A Survey of multiplicative metric spaces | 2024 |
| 35. | Piklu Dutta 22MScMTH27 | A Survey of Wong-Boyed type contraction and its applications | 2024 |
| 36. | Vishal Sudra Das 23MScMTH02 |
An investigation of some fixed point theorems satisfying interpolative type contractions | 2025 |
| 37. | Geysil Blaze Syiemlieh 23MScMTH26 |
Some fixed point theorems in Mbv metric space | 2025 |
| 38. | Benjelos Nongsiej 23MScMTH27 |
An investigation of some fixed point theorems in quasi partial b metric space | 2025 |
| 39. | Rebecca Lamare 23MScMTH33 |
An investigation of Boyed and Wong type fixed point theorems in abstract spaces | 2025 |
| 40 | Echwamidaka Khapiah 24MScMath23 | Some Fixed Point Theorem for Meir-Keeler Contraction in Perturbed Metric Spaces | 2026 |
| 41. | Jerry Banteilang Nongspung 24MScMath08 | Some Generalised Interpolative Contractions on Bi-Complex Valued Metric Spaces | 2026 |
| 42. | Naphilarisa Lyngdoh Marshilong 24MScMath25 | Some Fixed Point Results Using Rational Type Modified Contractions in Extended Rectangular b- Metric Space with Applications | 2026 |
| 43. | Godfriend Samwely Manung’da 2024-06-00390 | An Investigation of Fixed Point Theorems in Complete Metrically Convex Metric Spaces with Applications | 2026 |
Funded Projects:
Programs/Proposals Developed:
Web addresses
Research Publications:
| S. No. | Item | Numbers | Remarks |
| 1. | PhD Supervised | 3 | Awarded |
| PhD under supervision | 7 | In progress | |
| 2. | MSc/MPhil Supervised | 43 | Awarded |
| 3. | Journal Paper Published | 140 | Indexed Journals |
| 4. | Papers published as Book Chapters | 8 | Research Books |
| 5. | Books Published | 12 | Text Books |
| 6. | Books Edited | 9 | Indexed in Scopus |
| 7. | Conferences | 58 | |
| 8. | Examiner of PhD Thesis | 16 | |
| 9. | Examiner of MSc/MPhil. Dissertations | 15 |
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