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A note on best proximity point for proximal contraction

2021/07/03 by Sumit Som, Som, Sumit
Mathematics · #Fixed Point Theorems Analysis

paper · pdf · doi:10.48550/arxiv.2107.01362

Abstract

In the year 2011, S.Basha \citeBS introduced the notion of proximal contraction in a metric space X and study the existence and uniqueness of best proximity point for this class of mappings. Also, the author gave an algorithm to achieve this best proximity point. In this paper, we show that the best proximity point theorem can be proved by Banach contraction principle.

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