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

Publication Type : Journal Article

Publisher : SCIK Publishing Corporation

Source : International Journal of Analysis and Applications

Url : https://doi.org/10.28924/2291-8639-23-2025-95

Campus : Coimbatore

School : School of Physical Sciences

Department : Mathematics

Year : 2025

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.

Cite this Research Publication : V. Pragadeeswarar, V. Thinkal, Manuel De la Sen, Best Proximity Point Results for Multivalued Non-Self Mappings in O-Complete Metric Space, International Journal of Analysis and Applications, SCIK Publishing Corporation, 2025, https://doi.org/10.28924/2291-8639-23-2025-95

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