Fallahi, K. (2017). $G$-asymptotic contractions in metric spaces with a graph and fixed point results. Sahand Communications in Mathematical Analysis, 7(1), 75-83.

Kamal Fallahi. "$G$-asymptotic contractions in metric spaces with a graph and fixed point results". Sahand Communications in Mathematical Analysis, 7, 1, 2017, 75-83.

Fallahi, K. (2017). '$G$-asymptotic contractions in metric spaces with a graph and fixed point results', Sahand Communications in Mathematical Analysis, 7(1), pp. 75-83.

Fallahi, K. $G$-asymptotic contractions in metric spaces with a graph and fixed point results. Sahand Communications in Mathematical Analysis, 2017; 7(1): 75-83.

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

^{}Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran.

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.

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