Document Type: Special Issue on Fixed Point Theory

Authors

1 Department of Mathematics, Karaj Branch, Islamic Azad University, Alborz, Iran

2 Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran

Abstract

In this paper, we introduce the $b-(\varphi, \Gamma)-$graphic contraction on metric space endowed with a graph so that $(M,\delta)$ is a metric space, and $V(\Gamma)$ is the vertices of $\Gamma$ coincides with $M$. We aim to obtain some new fixed-point results for such contractions. We give an example to show that our results generalize some known results.

Keywords

Main Subjects

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