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

Babak Mohammadi, Ali Asghar Shole Haghighi, Maryam Khorshidi, Manuel De la Sen, Vahid Parvaneh
2020 Mathematics  
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.
doi:10.3390/math8040492 fatcat:7x7cl7osnncsngwlkfc5sfzlle