On Best Proximity Points under the -Property on Partially Ordered Metric Spaces

Very recently, Abkar and Gabeleh (2013) observed that some best proximity point results under the -property can be obtained from the same results in fixed-point theory. In this paper, motivated by this mentioned work, we show that the most best proximity point results on a metric space endowed with...

Full description

Saved in:
Bibliographic Details
Main Authors: Mohamed Jleli, Erdal Karapinar, Bessem Samet
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/150970
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832555847253753856
author Mohamed Jleli
Erdal Karapinar
Bessem Samet
author_facet Mohamed Jleli
Erdal Karapinar
Bessem Samet
author_sort Mohamed Jleli
collection DOAJ
description Very recently, Abkar and Gabeleh (2013) observed that some best proximity point results under the -property can be obtained from the same results in fixed-point theory. In this paper, motivated by this mentioned work, we show that the most best proximity point results on a metric space endowed with a partial order (under the -property) can be deduced from existing fixed-point theorems in the literature. We present various model examples to illustrate this point of view.
format Article
id doaj-art-286f2fedf9124210a13e3e66dbe3dafd
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-286f2fedf9124210a13e3e66dbe3dafd2025-02-03T05:47:01ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/150970150970On Best Proximity Points under the -Property on Partially Ordered Metric SpacesMohamed Jleli0Erdal Karapinar1Bessem Samet2Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Mathematics, Atilim University, Incek, 06836 Ankara, TurkeyDepartment of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaVery recently, Abkar and Gabeleh (2013) observed that some best proximity point results under the -property can be obtained from the same results in fixed-point theory. In this paper, motivated by this mentioned work, we show that the most best proximity point results on a metric space endowed with a partial order (under the -property) can be deduced from existing fixed-point theorems in the literature. We present various model examples to illustrate this point of view.http://dx.doi.org/10.1155/2013/150970
spellingShingle Mohamed Jleli
Erdal Karapinar
Bessem Samet
On Best Proximity Points under the -Property on Partially Ordered Metric Spaces
Abstract and Applied Analysis
title On Best Proximity Points under the -Property on Partially Ordered Metric Spaces
title_full On Best Proximity Points under the -Property on Partially Ordered Metric Spaces
title_fullStr On Best Proximity Points under the -Property on Partially Ordered Metric Spaces
title_full_unstemmed On Best Proximity Points under the -Property on Partially Ordered Metric Spaces
title_short On Best Proximity Points under the -Property on Partially Ordered Metric Spaces
title_sort on best proximity points under the property on partially ordered metric spaces
url http://dx.doi.org/10.1155/2013/150970
work_keys_str_mv AT mohamedjleli onbestproximitypointsunderthepropertyonpartiallyorderedmetricspaces
AT erdalkarapinar onbestproximitypointsunderthepropertyonpartiallyorderedmetricspaces
AT bessemsamet onbestproximitypointsunderthepropertyonpartiallyorderedmetricspaces