A necessary and sufficient condition for best proximity point in complete metric spaces with applications to analytic functions
Submitted: 2025-02-02
|Accepted: 2025-07-06
|Published: 2025-10-01
Copyright (c) 2025 Sumit Pant, Narendra Kumar Singh, Suraj Singh Thayat
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
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Keywords:
Best proximity point, Bon-self mapping, Complete metric space
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Abstract:
This paper proposes a best proximity point theorem for non-self mappings in complete metric spaces, providing necessary and sufficient conditions for their existence. A fixed point theorem is introduced as a corollary and these results are applied to analytic functions of a complex variable, showcasing their relevance to broader mathematical and applied contexts.
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