FIXED-POINT THEOREMS FOR MEIR–KEELER MULTIVALUED MAPS AND APPLICATION

Abstract

This work is intended for a generalization of Darbo’s fixed-point theorem by using multivalued condensing operators, and a measure of weak noncompactness which does not necessarily possess the maximum property. Moreover, we prove some fixed-point theorems in Banach algebras which satisfy an appointed weak sequential condition. As an application, we establish the existence of solutions for a functional integral inclusion.