Fixed point of φ-contraction in metric spaces endowed with a graph

Florin Bojor

Abstract


The purpose of this paper is to present some fixed point results for self-generalized contractions in metric spaces. We obtain suffcient conditions for the existence of a fixed point of the mapping T : X → X in the metric space X endowed with a graph G such that the set V (G) of vertices of G coincides with X.

 



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