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$G$-asymptotic contractions in metric spaces with a graph and fixed point results

Journal: Sahand Communications in Mathematical Analysis (Vol.7, No. 1)

Publication Date:

Authors : ;

Page : 75-83

Keywords : $G$-asymptotic contraction; Orbitally $G$-continuous self-map; Fixed point;

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Abstract

In this paper, we discuss the existence and uniqueness of fixed points for $G$-asymptotic contractions in metric spaces endowed with a graph. The result given here is a new version of Kirk's fixed point theorem for asymptotic contractions in metric spaces endowed with a graph. The given result here is a generalization of fixed point theorem for asymptotic contraction from metric s paces to metric spaces endowed with a graph.

Last modified: 2018-02-03 20:12:34