Best Proximity Point Results in G-Metric Spaces
G-metric spaces proved to be a rich source for fixed point theory; however, the best proximity point problem has not been considered in such spaces. The aim of this paper is to introduce certain new classes of proximal contraction mappings and establish the best proximity point theorems for such kin...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/837943 |
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| author | N. Hussain A. Latif P. Salimi |
| author_facet | N. Hussain A. Latif P. Salimi |
| author_sort | N. Hussain |
| collection | DOAJ |
| description | G-metric spaces proved to be a rich source for fixed point theory; however, the best proximity point problem has not been considered in such spaces. The aim of this paper is to introduce certain new classes of proximal contraction mappings and establish the best proximity point theorems for such kind of mappings in G-metric spaces. As a consequence of these results, we deduce certain new best proximity and fixed point results. Moreover, we present an example to illustrate the usability of the obtained results. |
| format | Article |
| id | doaj-art-f96e9655bda24c5c847ab564f703febd |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f96e9655bda24c5c847ab564f703febd2025-02-03T05:47:09ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/837943837943Best Proximity Point Results in G-Metric SpacesN. Hussain0A. Latif1P. Salimi2Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaYoung Researchers and Elite Club, Rasht Branch, Islamic Azad University, Rasht, IranG-metric spaces proved to be a rich source for fixed point theory; however, the best proximity point problem has not been considered in such spaces. The aim of this paper is to introduce certain new classes of proximal contraction mappings and establish the best proximity point theorems for such kind of mappings in G-metric spaces. As a consequence of these results, we deduce certain new best proximity and fixed point results. Moreover, we present an example to illustrate the usability of the obtained results.http://dx.doi.org/10.1155/2014/837943 |
| spellingShingle | N. Hussain A. Latif P. Salimi Best Proximity Point Results in G-Metric Spaces Abstract and Applied Analysis |
| title | Best Proximity Point Results in G-Metric Spaces |
| title_full | Best Proximity Point Results in G-Metric Spaces |
| title_fullStr | Best Proximity Point Results in G-Metric Spaces |
| title_full_unstemmed | Best Proximity Point Results in G-Metric Spaces |
| title_short | Best Proximity Point Results in G-Metric Spaces |
| title_sort | best proximity point results in g metric spaces |
| url | http://dx.doi.org/10.1155/2014/837943 |
| work_keys_str_mv | AT nhussain bestproximitypointresultsingmetricspaces AT alatif bestproximitypointresultsingmetricspaces AT psalimi bestproximitypointresultsingmetricspaces |