Coupled Best Proximity Point Theorem in Metric Spaces

Coupled Best Proximity Point Theorem in Metric Spaces

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The purpose of this article is to generalized the result of W. Sintunavarat and P. Kumam [29]. We also give an example in support of our theorem for which result of W. Sintunavarat and P. Kumam [29] is not true. Moreover we establish the existence and convergence theorems of coupled best proximity p...

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Main Authors: Animesh Gupta, S.S. Rajput, P.S. Kaurav
Format: Article
Language:English
Published: Etamaths Publishing 2013-11-01
Series:International Journal of Analysis and Applications
Online Access:http://www.etamaths.com/index.php/ijaa/article/view/191
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spelling doaj-3e516e0057c64ab58b8f830861f502fe2020-11-25T01:45:04ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392013-11-014220121562Coupled Best Proximity Point Theorem in Metric SpacesAnimesh Gupta0S.S. RajputP.S. KauravSagar Institute of Science Technology and Research, BhopalThe purpose of this article is to generalized the result of W. Sintunavarat and P. Kumam [29]. We also give an example in support of our theorem for which result of W. Sintunavarat and P. Kumam [29] is not true. Moreover we establish the existence and convergence theorems of coupled best proximity points in metric spaces, we apply this results in a uniformly convex Banach space.http://www.etamaths.com/index.php/ijaa/article/view/191
collection DOAJ
language English
format Article
sources DOAJ
author Animesh Gupta
S.S. Rajput
P.S. Kaurav
spellingShingle Animesh Gupta
S.S. Rajput
P.S. Kaurav
Coupled Best Proximity Point Theorem in Metric Spaces
International Journal of Analysis and Applications
author_facet Animesh Gupta
S.S. Rajput
P.S. Kaurav
author_sort Animesh Gupta
title Coupled Best Proximity Point Theorem in Metric Spaces
title_short Coupled Best Proximity Point Theorem in Metric Spaces
title_full Coupled Best Proximity Point Theorem in Metric Spaces
title_fullStr Coupled Best Proximity Point Theorem in Metric Spaces
title_full_unstemmed Coupled Best Proximity Point Theorem in Metric Spaces
title_sort coupled best proximity point theorem in metric spaces
publisher Etamaths Publishing
series International Journal of Analysis and Applications
issn 2291-8639
publishDate 2013-11-01
description The purpose of this article is to generalized the result of W. Sintunavarat and P. Kumam [29]. We also give an example in support of our theorem for which result of W. Sintunavarat and P. Kumam [29] is not true. Moreover we establish the existence and convergence theorems of coupled best proximity points in metric spaces, we apply this results in a uniformly convex Banach space.
url http://www.etamaths.com/index.php/ijaa/article/view/191
work_keys_str_mv AT animeshgupta coupledbestproximitypointtheoreminmetricspaces
AT ssrajput coupledbestproximitypointtheoreminmetricspaces
AT pskaurav coupledbestproximitypointtheoreminmetricspaces
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