Browsing by Author "Kumar, Santosh"
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Item A CommonFixed Point Theorem for Generalised F-Kannan Mapping in Metric Space with Applications(Hindawi, 2021) Wangwe, Lucas; Kumar, SantoshThis paper is aimed at proving a common fixed point theorem for F-Kannan mappings in metric spaces with an application to integral equations. The main result of the paper will extend and generalise the recent existing fixed point results in the literature. Wealso provided illustrative examples and some applications to integral equation, nonlinear fractional differential equation, and ordinary differential equation for damped forced oscillations to support the resultsItem Fixed Point Theorem on CATp(0) Metric Spaces with Applications in Solving Matrix Equations and Fractional Differential Equations(AIMS Press, 2025-05-15) Sajid ,Mohammad; Wangwe,Lucas; Kalita, Hemanta; 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 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).