Solutions of Fredholm type integral equations via the classical Schauder fixed point theorem

Abstract

We examine the existence of solutions for more general integral equations with respect to other work in Caballero Mena, Nalepa and Sadarangani (2014). Our techniques are based on the classical Schauder fixed point theorem and a new result about the relative compactness in Hölder spaces. Moreover, an example is presented to illustrate the obtained results.