A fixed point theorem for nonautonomous type superposition operators and integrable solutions of a general nonlinear functional integral equation

Abstract

We first establish a new fixed point theorem for nonautonomous type superposition operators. After that, we prove the existence of integrable solutions for a general nonlinear functional integral equation in an [InlineEquation not available: see fulltext.] space on an unbounded interval by using our theorem. Our main tool is the measure of weak noncompactness. MSC:47H30, 47H08.