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


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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.

About the authors

K. Fallahi

Department of Mathematics

Author for correspondence.
Email: fallahi1361@gmail.com
Iran, Islamic Republic of, Tehran, 19395-4697

G. Soleimani Rad

Department of Mathematics

Author for correspondence.
Email: gh.soleimani2008@gmail.com
Iran, Islamic Republic of, Tehran, 19395-4697

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