Best proximity results for proximal contractions in metric spaces endowed with a graph

In this paper we define a generalized proximal G-contraction on a metric space having the additional structure of a directed graph. We obtain a best proximity point result for such contractions which is with a view to obtaining minimum distance between the domain and range sets. An example illustrat...

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Bibliographic Details
Main Authors: Binayak S. Choudhury, Nikhilesh Metiya
Format: Article
Language:English
Published: Taylor & Francis Group 2016-12-01
Series:Cogent Mathematics
Subjects:
Online Access:http://dx.doi.org/10.1080/23311835.2016.1252455