A Coincidence Best Proximity Point Problem in G-Metric Spaces
The aim of this paper is to initiate the study of coincidence best proximity point problem in the setup of generalized metric spaces. Some results dealing with existence and uniqueness of a coincidence best proximity point of mappings satisfying certain contractive conditions in such spaces are obta...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/243753 |
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| _version_ | 1850157084319940608 |
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| author | M. Abbas A. Hussain P. Kumam |
| author_facet | M. Abbas A. Hussain P. Kumam |
| author_sort | M. Abbas |
| collection | DOAJ |
| description | The aim of this paper is to initiate the study of coincidence best proximity point problem in the setup of generalized metric spaces. Some results dealing with existence and uniqueness of a coincidence best proximity point of mappings satisfying certain contractive conditions in such spaces are obtained. An example is provided to support the result proved herein. Our results generalize, extend, and unify various results in the existing literature. |
| format | Article |
| id | doaj-art-33589217bcf34e238faedcad4a4874e8 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-33589217bcf34e238faedcad4a4874e82025-08-20T02:24:17ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/243753243753A Coincidence Best Proximity Point Problem in G-Metric SpacesM. Abbas0A. Hussain1P. Kumam2Department of Mathematics, Lahore University of Management Sciences, PakistanDepartment of Mathematics, University of Sargodha, PakistanDepartment of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, ThailandThe aim of this paper is to initiate the study of coincidence best proximity point problem in the setup of generalized metric spaces. Some results dealing with existence and uniqueness of a coincidence best proximity point of mappings satisfying certain contractive conditions in such spaces are obtained. An example is provided to support the result proved herein. Our results generalize, extend, and unify various results in the existing literature.http://dx.doi.org/10.1155/2015/243753 |
| spellingShingle | M. Abbas A. Hussain P. Kumam A Coincidence Best Proximity Point Problem in G-Metric Spaces Abstract and Applied Analysis |
| title | A Coincidence Best Proximity Point Problem in G-Metric Spaces |
| title_full | A Coincidence Best Proximity Point Problem in G-Metric Spaces |
| title_fullStr | A Coincidence Best Proximity Point Problem in G-Metric Spaces |
| title_full_unstemmed | A Coincidence Best Proximity Point Problem in G-Metric Spaces |
| title_short | A Coincidence Best Proximity Point Problem in G-Metric Spaces |
| title_sort | coincidence best proximity point problem in g metric spaces |
| url | http://dx.doi.org/10.1155/2015/243753 |
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