Document Type : Research Article
Author
Department of Mathematics, Payam Noor University, Tehran, Iran.
Abstract
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 under two different conditions. We then support our main theorem by a non-trivial example and give some consequences of best proximity point of it for usual graphs.
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Main Subjects
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