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


Klanarong, Chalongchai and Suantai, Suthep


Abstract

carpathian_2018_34_1_65_75_abstract

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.

Additional Information

Author(s)

Suantai, Suthep, Klanarong, Chalongchai