Common Best Proximity Points for Cyclic φ-Contraction Maps
The purpose of this paper is to introduce new types of contraction condition for a pair of maps $(S,T)$ in metric spaces. We give convergence and existence results of best proximity points of such maps in the setting of uniformly convex Banach spaces. Moreover, we obtain existence theorems of best p...
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Etamaths Publishing
2016-08-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://etamaths.com/index.php/ijaa/article/view/680 |
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doaj-ab7722d15c30456fac41841804e742532021-08-26T13:44:37ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392016-08-0112119187Common Best Proximity Points for Cyclic φ-Contraction MapsM. Ahmadi BaseriH. MazaheriT. D. NarangThe purpose of this paper is to introduce new types of contraction condition for a pair of maps $(S,T)$ in metric spaces. We give convergence and existence results of best proximity points of such maps in the setting of uniformly convex Banach spaces. Moreover, we obtain existence theorems of best proximity points for such contraction pairs in reflexive Banach spaces. Our results generalize, extend and improve results on the topic in the literature.http://etamaths.com/index.php/ijaa/article/view/680 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
M. Ahmadi Baseri H. Mazaheri T. D. Narang |
| spellingShingle |
M. Ahmadi Baseri H. Mazaheri T. D. Narang Common Best Proximity Points for Cyclic φ-Contraction Maps International Journal of Analysis and Applications |
| author_facet |
M. Ahmadi Baseri H. Mazaheri T. D. Narang |
| author_sort |
M. Ahmadi Baseri |
| title |
Common Best Proximity Points for Cyclic φ-Contraction Maps |
| title_short |
Common Best Proximity Points for Cyclic φ-Contraction Maps |
| title_full |
Common Best Proximity Points for Cyclic φ-Contraction Maps |
| title_fullStr |
Common Best Proximity Points for Cyclic φ-Contraction Maps |
| title_full_unstemmed |
Common Best Proximity Points for Cyclic φ-Contraction Maps |
| title_sort |
common best proximity points for cyclic φ-contraction maps |
| publisher |
Etamaths Publishing |
| series |
International Journal of Analysis and Applications |
| issn |
2291-8639 |
| publishDate |
2016-08-01 |
| description |
The purpose of this paper is to introduce new types of contraction condition for a pair of maps $(S,T)$ in metric spaces. We give convergence and existence results of best proximity points of such maps in the setting of uniformly convex Banach spaces. Moreover, we obtain existence theorems of best proximity points for such contraction pairs in reflexive Banach spaces. Our results generalize, extend and improve results on the topic in the literature. |
| url |
http://etamaths.com/index.php/ijaa/article/view/680 |
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AT mahmadibaseri commonbestproximitypointsforcyclicphcontractionmaps AT hmazaheri commonbestproximitypointsforcyclicphcontractionmaps AT tdnarang commonbestproximitypointsforcyclicphcontractionmaps |
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1721193518223851520 |