Generalization of Darbos fixed point theorem via SRμ-contractions with application to integral equations

Abstract

The aim of the current paper is introducing a generalization of Darbo's fixed point theorem based on SR−functions. In comparison with simulation function, SR−functions are able to cover the Meir-Keeler functions. Thus, the integral equations which are related to L−functions can be solved by our results. In the sequel, we find a solution for an integral equation to support our results.