Solvability for generalized nonlinear two dimensional functional integral equations via measure of noncompactness

Abstract

Abstract In this article, we provide the existence result for functional integral equations by using Petryshyn’s fixed point theorem connecting the measure of noncompactness in a Banach space. The results enlarge the corresponding results of several authors. We present fascinating examples of equations.

Keywords

• Petryshyn’s fixed point theorem
• Measure of noncompactness (in short MNC)
• Functional integral equation (in short FIE)