Application of measures of noncompactness to the system of integral equations

Abstract

Abstract In this paper, by applying a measure of noncompactness in the space L∞(ℝn) and a new generalization of Darbo fixed point theorem, we study the existence of solutions for a class of the system of integral equations. Our main result is more general than the main result of [2]. Finally, an example is presented to show the usefulness of the outcome.