New fixed point theorems for countably condensing maps with an application to functional integral inclusions

Abstract

This paper presents new fixed point theorems for 2 × 2 block operator matrix with countably condensing or countably D-set-contraction multi-valued inputs. Our theory will then be used to establish some new existence theorems for coupled system of functional differential inclusions in general Banach spaces under weak topology. Our results generalize, improve and complement a number of earlier works.