Best Proximity Point Results for Multivalued Non-Self Mappings in O-Complete Metric Space

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DOI: https://doi.org/10.28924/2291-8639-23-2025-95
Published: Apr 21, 2025
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V. Pragadeeswarar, V. Thinkal, Manuel De la Sen, Best Proximity Point Results for Multivalued Non-Self Mappings in O-Complete Metric Space, Int. J. Anal. Appl., 23 (2025), 95.

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V. Pragadeeswarar, V. Thinkal, Manuel De la Sen

Abstract

The main objective of this paper is to find the sufficient conditions for the existence of best proximity points for multivalued non-self mapping in the setting of O-complete metric space. We prove the existence of best proximity point by introducing the new concept called proximal relation in O-sets along with various contraction conditions on multivalued non-self mappings. In addition, we provide an example to support our main result.

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