Mönch-Krasnoselski fixed point theorem in Banach spaces and its applications to certain nonlinear problems

Abstract

In this memory, we present the Mönch-Krasnoselski fixed point theorem in Banach space which is a generalisation of the classical Krasnoselski fixed point theorem. We also give some applications to classes of nonlinear integral equations in the space of continuous functions using the technique of noncompactness measures. Examples are provided to illustrate the obtained results.