Best proximity results for p-proximal contractions on topological spaces

In this article, we investigate some sufficient conditions for the existence and uniqueness of best proximity points for the topological p-proximal contractions and p-proximal contractive mappings on arbitrary topological spaces. Moreover, our results are illustrated by a few numerical examples and...

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Bibliographic Details
Published in:Carpathian Journal of Mathematics 2023-01, Vol.39 (3), p.621-632
Main Authors: Bera, A., Dey, L. K., Petruşel, A., Chanda, A.
Format: Article
Language:English
Online Access:Get full text
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Summary:In this article, we investigate some sufficient conditions for the existence and uniqueness of best proximity points for the topological p-proximal contractions and p-proximal contractive mappings on arbitrary topological spaces. Moreover, our results are illustrated by a few numerical examples and they generalize some known results in the literature.
ISSN:1584-2851
1843-4401
DOI:10.37193/CJM.2023.03.04