Generalized Ciric's Pairs of Maps and Some Systems of Nonlinear Integral Equations

José R Morales, Edixon M Rojas

Abstract

In this article, we establish common fixed point results for a class of pair of Ciric’s type mappings assuming weakly compatibility, which is a minimal noncommuting notion for contractive pair of mappings. Additionally, we prove existence and uniqueness common of fixed points for this pair of mappings satis- fying alternative properties as the so-called property E.A., reciprocal continuity and CLRS-property. Those results will allow us to analyze the existence of solu- tions for some system of nonlinear integral equations on (no necessarily complete) metric spaces.