Prof. Rajendra Pant

Overview

Prof. Pant does research in Nonlinear Functional Analysis: Fixed Point Theory. In the last 50 years, fixed point theory is one of the rapidly growing areas of research in mathematics. This theory plays a fundamental role in many branches of pure, applied, and computational mathematics, such as nonlinear analysis, optimization, economics, and game theory. The crucial key of this success is due to the possibility of representing various problems arising in above disciplines, in the form of an equivalent fixed-point problem. Therefore, theoretical and methodological aspects of fixed-point theory apply to characterize the problems under study in abstract settings, but also for solving them completely or approximately. Prof Pant’s research focuses on developing existence and convergence results for nonlinear operators in metric, Banach and Hilbert spaces. Links Google Scholar: https://scholar.google.com/citations?user=VQzLtZgAAAAJ&hl=en&oi=ao Orcid-ID: https://orcid.org/0000-0001-9990-2298 Scopus: https://www.scopus.com/authid/detail.uri?authorId=58721900200 Recent publications Pant, Rajendra, Patel, P. Approximating zeros of monotone operators in Banach spaces, Adv. Fixed Point Theory, 14, (2024), 17pp. Khantwal, Deepak; Pant, Rajendra. Suzuki-type fixed point theorems in relational metric spaces with applications. Math. Morav. 28 (2024), no. 1, 1–15. Eshi, D., Hazarika, B., Saikia, N., Pant, R. On Reich and Chaterjea type cyclic weakly contraction mappings in metric spaces, J. Math. Comp. Sci. 32(4) 2024, 348—357. Khantwal, D.; Pant, Rajendra. 2024 Some existence and uniqueness results for a solution of a system of equations. Appl. Gen. Topol. 25 (2024), no. 1, 159–174. Letlhage, I. K.; Khantwal, D.; Pant, Rajendra, Sen, M.D.L., The Stability and Well-Posedness of Fixed Points for Relation-Theoretic Multi-Valued Maps, Mathematics., 2023, 11(20), 4271 Pant, Rajendra. Some new fixed points results for a class of set-valued mappings in metric spaces, Adv. Fixed Point Theory, 13, 2023, 15pp Shukla, Rahul; Pant, Rajendra; Petrusel, Adrian; On stationary and nonstationary iterative methods for nonexpansive type mappings in Banach spaces. Rev. R. Acad. Cienc. Exactas F´ıs. Nat. Ser. A Mat. RACSAM 117 (2023), no. 3, Paper No. 100, 21pp. Pant, Rajendra; Khantwal, D. Existence results for single and multivalued mappings in metric spaces with applications, Adv. Fixed Point Theory, 13, (2023), 8pp. Nashine, Hemant Kumar; Pant, Rajendra. Feng-Liu type fixed point theorems for w-distance spaces and applications. Filomat 36(2022), no. 11, 3899-3917 Pant, Rajendra; Shukla, Rahul. Fixed point theorems for monotone orbitally nonexpansive type mappings in partially ordered hyperbolic metric spaces. Boll. Unione Mat. Ital. 15(2022), no. 3, 401-411.