COMMON COUPLED FIXED POINT THEOREMS FOR GENERALIZED NONLINEAR CONTRACTIONS ON METRIC SPACES INVOLVING A GRAPH

Abstract

New generalized forms of Banach and Kannan type contractions have been described and some coupled coincidence and coupled common fixed point results have been established in the setting of metric space involving a graph. Our theorems extend and generalize many existing results in the literature. Furthermore, an application to integral equations is presented to affirm the importance.