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 $\theta$-$\omega$-contractions in a Banach space
has been presented. We illustrate that some conditions of control functions $%
\vartheta$ and $\omega$ 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.