Some fixed point theorems for Meir-Keeler condensing operators and application to a system of integral equations

Solutions of Neutral Differential Inclusions

“…In 2015, Aghajani and Mursaleen [1] introduced the definition of Meir-Keeler condensing operator and proved a theorem that guarantees the existence of a fixed point for single valued mappings. In [4], the authors introduce the concept of Meir-Keeler condensing operator in a Banach space via an arbitrary measure of weak noncompactness and prove some generalizations of Darbo's fixed point theorem by considering a measure of weak noncompactness which not necessary has the maximum property. They prove some coupled fixed point theorems and they apply them in order to establish the existence of weak solutions for a system of functional integral equations of Volterra type.…”