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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.

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