This article is cited in 4 papers

Papers published in the English version of the journal

Fixed Points of a $\varphi$-$G$-Contractive Mapping with Respect to a $c$-Distance on an Abstract Metric Space Endowed with a Graph

K. Fallahi, G. Soleimani Rad

Department of Mathematics, Payame Noor University, Tehran, 19395-4697 Iran

Abstract: In this paper, we prove the existence of fixed points for any mapping that is a Banach $G$-contraction with respect to a $c$-distance on a cone metric space endowed with a graph.

Keywords: $c$-distance, orbitally $G$-continuous, Picard operator, weak connected graph, $\varphi$-$\widetilde G$-contraction.

Received: 18.04.2017
Revised: 15.01.2019

Language: English

 English version: Mathematical Notes, 2019, 105:5, 781–788

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