On tripled fixed point theorems via measure of noncompactness with applications to a system of fractional integral equations

Abstract

In this paper, an extension of Darbo?s fixed point theorem via the concept of operators A(f;.) and ?-?-contractions in a Banach space has been presented. We illustrate that some conditions of control functions ? and ? can be omitted where they applied previously in [Mohammadi et al., Mathematics, 2020, 8(4), 492]. As an application, we study the existence of solutions for a system of fractional integral equations. Finally, to support the effectiveness of our results, we present an example.