Existence of Solutions for a System of Integral Equations Using a Generalization of Darbo’s Fixed Point Theorem

Abstract

In this paper, an extension of Darbo’s fixed point theorem via θ -F-contractions in a Banach space has been presented. Measure of noncompactness approach is the main tool in the presentation of our proofs. As an application, we study the existence of solutions for a system of integral equations. Finally, we present a concrete example to support the effectiveness of our results.

Keywords

• fixed point
• measure of noncompactness
• coupled fixed point
• integral equations