Best Proximity Point Results for G-Proximal Geraghty Mappings

Phakdi Charoensawan, Tanadon Chaobankoh

Abstract


Let $(X,d)$ be a complete metric space endowed with a graph $G.$We introduce a new type of  Geraghty contractions which are $G$-proximal. Best proximity theorems for these mappings in $X$ are given as well as an example supporting the main result. Moreover, we obtain several consequences which generalize other results in the literature.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|