Banach Fixed Point Theorem And Its Application

1.0 Introduction

Banach"s fixed point (also known as the contraction mapping theorem or contraction mapping principle) concerns certain mappings of a complete metric space into itself; it is also an important tool in the theory of metric spaces, theory of ordinary and partial differential equation. It guarantees the existence and uniqueness of a fixed point (point that is mapping into itself) i.e. self maps of metric spaces and provides a constructive method or iterative process by which we can obtain these fixed points.

In this paper work, we would restrict ourselves on its application to integral equations.

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