To study some applications of Banach fixed point theorem

Abstract

In this paper, I analyze some important applications of Banach Fixed Point Theorem. This theorem has enormous applications to confirm existence and uniqueness of solution of an Initial value problem by Picard- Lindelöf Theorem, existence and uniqueness of solution of Differential Equation by using Newton’s method of successive approximation, existence and uniqueness of solution of an Integral Equation and existence and uniqueness of solution of Digital Image Processing. We will prove existence and uniqueness of solution of an Initial value problem, Differential Equation, Integral Equation, and Digital Image Processing by using Banach Fixed Point Theorem.