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...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/150970 |
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| _version_ | 1832555847253753856 |
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| 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 |