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

Journal of Linear and Topological Algebra

مقاله 7، دوره 07، شماره 03، آذر 2018، صفحه 245-250   

نوع مقاله: Special Issue on Fixed Point Theory

نویسندگان

Sh. Mirzaee¹؛ M. Eshaghi Gordji^{* 2}

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

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

چکیده

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.

کلیدواژه‌ها

Metric space؛ fixed point؛ $ b-(\varphi, \Gamma)-$graphic contraction

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