Measure of noncompactness in the study of solutions for a system of integral equations

TL;DR

This paper establishes the existence of solutions for a tripled system of integral equations by developing new fixed point results based on measure of noncompactness, generalizing previous conditions.

Contribution

It introduces more general fixed point conditions using measure of noncompactness for solving integral systems, extending prior research.

Findings

Proved existence of solutions for the system

Extended fixed point theorems with broader conditions

Generalized previous results in the literature

Abstract

In this work, we prove the existence of solutions for a tripled system of integral equations using some new results of fixed point theory associated with measure of noncompactness. These results extend some previous works in the literature, since the condition under which the operator admits fixed points is more general than the others in literature.