Fixed point Functional Theorems differentiability for topological structures with application to Approximation Theory

Abstract

The purpose of this paper is to discuss the Fixed point theorems differentiability for topological structure. There are many settings in which the fixed point theorems have been studied. Metric spaces and its various generalizations, 2-metric spaces, uniform and quasi-uniform spaces, Banach spaces, normed spaces, 2-normed spaces, locally convex spaces, uniformly convex spaces etc. are some of the settings in which fixed point theorems have been proved and their useful applications have been found.