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:	Fixed point best proximity point contraction graph metric space P-property.
Online Access:	http://polipapers.upv.es/index.php/AGT/article/view/3424

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spelling	doaj-1f068d4981534deaba37e191e9f4e5642020-11-24T21:30:38ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472017-04-01181132110.4995/agt.2017.34245206Best proximity points of contractive mappings on a metric space with a graph and applicationsAsrifa Sultana0V. Vetrivel1Indian Institute of Technology MadrasIndian Institute of Technology MadrasWe 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 theorem subsumes and generalizes many recent fixed point and best proximity point results.http://polipapers.upv.es/index.php/AGT/article/view/3424Fixed pointbest proximity pointcontractiongraphmetric spaceP-property.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Asrifa Sultana V. Vetrivel
spellingShingle	Asrifa Sultana V. Vetrivel Best proximity points of contractive mappings on a metric space with a graph and applications Applied General Topology Fixed point best proximity point contraction graph metric space P-property.
author_facet	Asrifa Sultana V. Vetrivel
author_sort	Asrifa Sultana
title	Best proximity points of contractive mappings on a metric space with a graph and applications
title_short	Best proximity points of contractive mappings on a metric space with a graph and applications
title_full	Best proximity points of contractive mappings on a metric space with a graph and applications
title_fullStr	Best proximity points of contractive mappings on a metric space with a graph and applications
title_full_unstemmed	Best proximity points of contractive mappings on a metric space with a graph and applications
title_sort	best proximity points of contractive mappings on a metric space with a graph and applications
publisher	Universitat Politècnica de València
series	Applied General Topology
issn	1576-9402 1989-4147
publishDate	2017-04-01
description	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 theorem subsumes and generalizes many recent fixed point and best proximity point results.
topic	Fixed point best proximity point contraction graph metric space P-property.
url	http://polipapers.upv.es/index.php/AGT/article/view/3424
work_keys_str_mv	AT asrifasultana bestproximitypointsofcontractivemappingsonametricspacewithagraphandapplications AT vvetrivel bestproximitypointsofcontractivemappingsonametricspacewithagraphandapplications
_version_	1725962445231489024

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

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