Browsing by Author "Wangwe, Lucas"
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Item Fixed point theorem on CATp(0) metric spaces with applications in solving matrix equations and fractional differential equations(AIMS Mathematics, 2025-05-15) Sajid, Mohammad; Wangwe, Lucas; Hemanta, Kalita; Kumar, SantoshThis paper aimed to explore fixed point theorems for CMJ generalized mappings in CATp(0) metric spaces. To strengthen the established results, we presented a positive example. In applications, we found the existence of the solution to nonlinear matrix equations, and unique solutions of two scale fractal hybrid fractional differential equations in CATp(0).Item Fixed point theorems for extended interpolative Kanann- iri¢-Reich-Rus non-self type mapping in hyperbolic complex-valued metric space(Euro-Tbilisi Mathematical Journal, 2023) Wangwe, Lucas; Rathour, Laxmi; Mishra, Lakshmi N.; Mishra, Vishnu N.This paper aims to demonstrate the xed point theorem for extended interpolative non-self type contraction mapping in hyperbolic complex-valued metric spaces. We provide an example for veri cation of the results. Further, as an application, we prove the existence and uniqueness of solutions for a class of Hadamard partial fractional integral equations by applying some fixed point theorems.Item Fixed point theorems for generalized interpolative non expansive mappings in CATp(0) metric spaces(2024-05-03) Wangwe, LucasThis paper aims to prove xed point theorems for generalized interpolative non expansive mappings in CATp(0) metric spaces. Also provide a constructive example to support the proven results. The results proved here will be illustrated with an application to Hopf Bifurcations in a Delayed-Energy Based Model of Capital Accumulation.