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CALOGERO VETRO

Some coincidence and periodic points results in a metric space endowed with a graph and applications

Abstract

The purpose of this paper is to obtain some coincidence and periodic points results for generalized $F$-type contractions in a metric space endowed with a graph. Some examples are given to illustrate the new theory. Then, we apply our results to establishing the existence of solution for a certain type of nonlinear integral equation.