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A note on best proximity point for proximal contraction

General Topology 2021-07-06 v1

Abstract

In the year 2011, S.Basha \cite{BS} introduced the notion of proximal contraction in a metric space XX 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.

Keywords

Cite

@article{arxiv.2107.01362,
  title  = {A note on best proximity point for proximal contraction},
  author = {Sumit Som},
  journal= {arXiv preprint arXiv:2107.01362},
  year   = {2021}
}

Comments

3 pages

R2 v1 2026-06-24T03:51:41.541Z