Best Proximity Point Result for New Type of Contractions in Metric Spaces with a Graph

Document Type: بنیادی - نظری


Department of Mathematics, Payam Noor University, Tehran, Iran.



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.


Main Subjects

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