%0 Journal Article
%T $G$-asymptotic contractions in metric spaces with a graph and fixed point results
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Fallahi, Kamal
%D 2017
%\ 07/01/2017
%V 07
%N 1
%P 75-83
%! $G$-asymptotic contractions in metric spaces with a graph and fixed point results
%K $G$-asymptotic contraction
%K Orbitally $G$-continuous self-map
%K Fixed point
%R 10.22130/scma.2017.23946
%X 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.
%U https://scma.maragheh.ac.ir/article_23946_19404569cb84bcaf00c0dcb506605188.pdf