Best proximity point theorems for G-proximal weak contractions in complete metric spaces endowed with graphs

Klanarong, Chalongchai and Suantai, Suthep



In this paper, the existence of best proximity point theorems for two new types of nonlinear non-self mappings in a complete metric space endowed with a directed graph are established. Our main results extend and generalize many known results in the literatures. As a special case of the main results, the best proximity point theorems on partially ordered sets are obtained.

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Klanarong, Chalongchai, Suantai, Suthep