Existence And Uniqueness Of Solutions To System Of Linear Equations And Integral Equations Using Banach Fixed-Point Theorem.

This is the authors' abstract. We don't add key points for this paper.

In this paper, using Banach fixed-point theorem, we study the existence and uniqueness of solution for a system of linear equations. Further, we prove the existence and uniqueness of the continuous solutions of linear and non-linear Fredholm integral equations over the Banach space . Our claim is also illustrated with the applications to respective examples for proving the existence results.