Browsing by Author "Kumar, Santosh"

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A CommonFixed Point Theorem for Generalised F-Kannan Mapping in Metric Space with Applications
(Hindawi, 2021) Wangwe, Lucas; Kumar, Santosh
This 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 results
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, Santosh
This 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).
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, Santosh
This 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).