Application of Measure of Noncompactness for the System of Functional Integral Equations

Abstract

In this paper we introduce the notion of the generalized Darbo xed point theorem and prove some fixed and coupled xed point theorems in Banch space via the measure of non-compactness, which generalize the result of Aghajani et al.[6]. Our results generalize, extend, and unify several well-known comparable results
in the literature. As an application, we study the existence of solutions for the system of integral equations.