Mirzaee, S., Eshaghi Gordji, M. (2018). $ b-(\varphi, \Gamma)-$graphic contraction on metric space endowed with a graph. Journal of Linear and Topological Algebra (JLTA), 07(03), 245-250.

Sh. Mirzaee; M. Eshaghi Gordji. "$ b-(\varphi, \Gamma)-$graphic contraction on metric space endowed with a graph". Journal of Linear and Topological Algebra (JLTA), 07, 03, 2018, 245-250.

Mirzaee, S., Eshaghi Gordji, M. (2018). '$ b-(\varphi, \Gamma)-$graphic contraction on metric space endowed with a graph', Journal of Linear and Topological Algebra (JLTA), 07(03), pp. 245-250.

Mirzaee, S., Eshaghi Gordji, M. $ b-(\varphi, \Gamma)-$graphic contraction on metric space endowed with a graph. Journal of Linear and Topological Algebra (JLTA), 2018; 07(03): 245-250.

$ b-(\varphi, \Gamma)-$graphic contraction on metric space endowed with a graph

^{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.

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