Best proximity points of contractive mappings on a metric space with a graph and applications

We establish an existence and uniqueness theorem on best proximity point for contractive mappings on a metric space endowed with a graph. As an application of this theorem, we obtain a result on the existence of unique best proximity point for uniformly locally contractive mappings. Moreover, our th...

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Bibliographic Details
Main Authors: Asrifa Sultana, V. Vetrivel
Format: Article
Language:English
Published: Universitat Politècnica de València 2017-04-01
Series:Applied General Topology
Subjects:
Online Access:http://polipapers.upv.es/index.php/AGT/article/view/3424