JAYPEE UNIVERSITY ANOOPSHAHR, UP, INDIA
जेपी विश्वविद्यालय अनुपशहर, उ. प्र., भारत
ESTABLISHED UNDER UP ACT NO 8 OF 2014 AND INCORPORATED UNDER UP ACT NO 12 OF 2019 AS PRIVATE UNIVERSITY APPROVED BY UGC UNDER SECTION 2(F) OF THE UGC ACT, 1956
About me
Dr. Rajpoot completed his entire higher education at the prestigious Aligarh Muslim University (AMU). He earned his Ph.D. in Mathematics in 2024 with a thesis titled "Some new aspects of variational inequalities and variational inclusions." His academic record is marked by consistent excellence, holding an M.Sc., B.Ed. (Mathematics & Physics), and a B.Sc. (Hons), all awarded with First Division honors.
Expertise
Mathematics & Statistics
Ph.D. in Mathematics in 2024 with a thesis titled "Some new aspects of variational inequalities and variational inclusions" Aligarh Muslim University (AMU), M.Sc., B.Ed. (Mathematics & Physics), and a B.Sc. (Hons),
1.5 years Teaching experience
Publications:
1. Rais Ahmad, Arvind Kumar Rajpoot, Imran Ali, Ching-Feng Wen, “Yosida complementarity problem with Yosida variational inequality problem and Yosida proximal operator equation involving XOR-operation”, Journal of Mathematics, Vol. 2021, pp. 1-15, 2021. https://doi.org/10.1155/2021/9362630
2. Arvind Kumar Rajpoot, Rais Ahmad, Mohd Ishtyak, Ching-Feng Wen, “Mixed Variational Inequality Problem Involving Generalized Yosida Approximation Operator in q-Uniformly Smooth Banach Space”, Journal of Mathematics, Vol. 2022, ID 9362630, 15 pages, 2022. https://doi.org/10.1155/2021/9362630
3. Mohammad Akram, Mohammad Dilshad, Arvind Kumar Rajpoot, Feeroz Babu, Rais Ahmad, Jen-Chih Yao, “Modified Iterative Schemes for a Fixed Point Problem and a Split Variational Inclusion Problem”, Mathematics, 10(12), 2098, 2022. https://doi.org/10.3390/math10122098
4. Imran Ali, Faizan Ahmad, Khan, Haider Abbas Rizvi, Rais Ahmad, Arvind Kumar Rajpoot, “Second order evolutionary partial differential variational like inequalities”, AIMS Mathematics, 7(9), 16832-16850, 2022. https://doi.org/10.3934/math.2022924
5. Javid Iqbal, Arvind Kumar Rajpoot, Monirul Islam, Rais Ahmad, Yuanheng Wang, “System of Generalized Variational Inclusions Involving Cayley Operators and XOR-Operation in q-Uniformly Smooth Banach Spaces”, Mathematics, 10(16), 2837, 2022. https://doi.org/10.3390/math10162837
6. Arvind Kumar Rajpoot, Mohd Ishtyak, Haider Abbas Rizvi, Rais Ahmad, Mu Ming Wong, “Yosida Cayley inclusion problem with its corresponding resolvent equation problem involving XOR-operation”, Journal of Nonlinear and Convex Analysis, 23(11), 2547-2564, 2022. http://yokohamapublishers.jp/online2/opjnca/vol23/p2547.html
7. Iqbal Ahmad, Faizan Ahmad Khan, Arvind Kumar Rajpoot, Mohammad Ahmad Osman Tom, Rais Ahmad, “Convergence analysis of general parallel S-iteration process for system of mixed generalized Cayley variational inclusions”, 7(11), 20259-20274, 2022. https://doi.org/10.3934/math.20221109
8. Rais Ahmad, Arvind Kumar Rajpoot, Monirul Islam, Mu-Ming Wong, “H(.,.)-η-ξ cocoercive operator with an application for solving a mixed variational inclusion problem involving generalized Cayley operator in uniformly smooth Banach space”, Journal of Nonlinear and Convex Analysis, 24(4), 787-800, 2023. http://yokohamapublishers.jp/online2/opjnca/vol24/p787.html
9. Arvind Kumar Rajpoot, Monirul Islam, Javid Iqbal, Yuanheng Wang, Rais Ahmad, “Inertial-type three step resolvent scheme for solving Cayley inclusion problem”, Journal of Nonlinear and Convex Analysis, 24(5), 925-940, 2023. http://yokohamapublishers.jp/online2/opjnca/vol24/p925.html
10. Iqbal Ahmad, Anshu Dagur, Arvind Kumar Rajpoot, Rais Ahmad, “System of Yosida Cayley variational inclusions involving XOR-operation”, Applied Analysis and Optimization, 7(3), 241-262, 2023. http://yokohamapublishers.jp/online2/opjnca/vol24/p925.html
11.Rais Ahmad, Mohd Ishtyak, Arvind Kumar Rajpoot, Yuanheng Wang, “Solving System of Mixed Variational Inclusions Involving Generalized Cayley Operator and Generalized Yosida Approximation Operator with Error Terms in qUniformly Smooth Space”, Mathematics, 10(21), 4131, 2022. https://doi.org/10.3390/math102141311
12.Arvind Kumar Rajpoot, Mohd Ishtyak, Rais Ahmad, Yuanheng Wang, JenChih Yao, “Convergence Analysis for Yosida Variational Inclusion Problem with Its Corresponding Yosida Resolvent Equation Problem through Inertial Extrapolation Scheme”, Mathematics, 11(3), 763, 2023. https://doi.org/10.3390/math11030763
13.Rais Ahmad, Yuanheng Wang, Mohd Ishtyak, Haider Abbas Rizvi, Arvind Kumar Rajpoot, “Co-Variational Inequality Problem Involving Two Generalized Yosida Approximation Operators”, Fractal and Fractional, 7(8), 615, 2023. https://doi.org/10.3390/fractalfract7080615
14.Arvind Kumar Rajpoot, Javid Iqbal, Rais Ahmad, Ching-Feng Wen, “Variational inclusion problem involving averaged operator and its corresponding resolvent-type equation”, Journal of Nonlinear and Convex Analysis, 25(10), 2457-2471, 2024. http://www.yokohamapublishers.jp/online2/jncav25-10.html
15. Muhammed Raji, Arvind Kumar Rajpoot, Aftab Hussain, Laxmi Rathour, Lakshmi Narayan Mishra, Vishnu Narayan Mishra,” Results in Fixed Point Theorems for Relational-Theoretic Contraction Mappings in Metric Spaces”, Tuijin Jishu/Journal of Propulsion Technology, 45(1), 4356-4368, 2024 https://doi.org/10.52783/tjjpt.v45.i01.5134
16. Javid Iqbal, Yuanheng Wang, Arvind Kumar Rajpoot, Rais Ahmad, “Generalized Yosida inclusion problem involving multi-valued operator with XOR operation”, Demonstratio Mathematica, 57(1), pp. 20240011, 2024. https://doi.org/10.1515/dema-2024-0011
17. Muhammed Raji, Arvind Kumar Rajpoot, Wadei F. Al-omeri, Laxmi Rathour, Lakshmi Narayan Mishra, Vishnu Narayan Mishra, “Generalized α-ψ Contractive Type Mappings and Related Fixed Point Theorems with Applications”, Tuijin Jishu/Journal of Propulsion Technology, 45,10,5235-5246, 2024. https://doi.org/10.29294/IJASE.10.4.2024.3639-3654
18. Muhammad Raji, Arvind Kumar Rajpoot, Laxmi Rathour, Lakshmi Narayan Mishra, Vishnu Narayan Mishra, “Coincidence point results for relationaltheoretic contraction mappings in metric spaces with applications”, Open Journal of Mathematical Analysis, 8(1), 1-17, 2024. https://www.doi.org/10.30538/psrp-oma2024.01311
19. 19. Muhammad Raji, Arvind Kumar Rajpoot, Laxmi Rathour, Lakshmi Narayan Mishra, Vishnu Narayan Mishra, “Nonlinear Contraction Mappings in b-metric Space and Related Fixed Point Results with Application”, 3(2), 37-50, 2024. https://doi.org/https://doi.org/10.71602/tfss.2024.1183360
Conference & Workshop
1. International Conference on Multidisciplinary Research Perspectives, Bhopal School of Social Sciences, Bhopal, India, 16-17 February 2023. Paper Presented: “Yosida Cayley Inclusion Problem with its corresponding Resolvent Equation Problem involving XOR operation”. [Awarded ‘Best Paper Presentation in Mathematics’]
2. International Conference on Variational Analysis and Optimization with Applications, Department of Mathematics, Aligarh Muslim University, Aligarh, India, 23-25 September 2023. Paper Presented: “Variational Inclusion Problem involving Averaged operator and corresponding Resolvent-type Equation”.