On the Existence of Solutions of Non-Linear 2d Volterra Integral Equations in a Banach Space

Abstract

In this work, we examine the solvability of non-linear 2D Volterra integral equations through Petryshyn fixed point theorem in Banach space C([0, c] x [0, d]). Our work covers many previous results that occur in non-linear analysis and some real-world problems under some weaker conditions. The efficiency of our work is presented by some examples.