$b$-metric spaces with a graph and best proximity points for some contractions

Journal of Linear and Topological Algebra

دوره 10، شماره 04، اسفند 2021، صفحه 277-286   

نوع مقاله: Research Paper

نویسندگان

K. Fallahi^* ؛ M. Ayobian

Department of Mathematics, Payame Noor University, Tehran, Iran

چکیده

In this paper, we introduce a new type of graph contraction using a special class of functions and give a best proximity point theorem for this contraction in complete metric spaces endowed with a graph. Then we support our main theorem by a non-trivial example and give some consequences of it for usual graphs.

کلیدواژه‌ها

Best proximity point؛ $G$-continuous mapping؛ fixed point

مراجع

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