Best Proximity Points for Generalized α-ψ-Proximal Contractive Type Mappings
We introduce a new class of non-self-contractive mappings. For such mappings, we study the existence and uniqueness of best proximity points. Several applications and interesting consequences of our obtained results are derived.
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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: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/534127 |
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| _version_ | 1832560520401518592 |
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| author | Mohamed Jleli Erdal Karapınar Bessem Samet |
| author_facet | Mohamed Jleli Erdal Karapınar Bessem Samet |
| author_sort | Mohamed Jleli |
| collection | DOAJ |
| description | We introduce a new class of non-self-contractive mappings. For such mappings, we study the existence and uniqueness of best proximity points. Several applications and interesting consequences of our obtained results are derived. |
| format | Article |
| id | doaj-art-598c20e207414612a42ddbd8cfeb5064 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-598c20e207414612a42ddbd8cfeb50642025-02-03T01:27:15ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/534127534127Best Proximity Points for Generalized α-ψ-Proximal Contractive Type MappingsMohamed Jleli0Erdal Karapınar1Bessem Samet2Department of Mathematics, King Saud University, Riyadh, Saudi ArabiaDepartment of Mathematics, Atılım University, İncek, 06836 Ankara, TurkeyDepartment of Mathematics, King Saud University, Riyadh, Saudi ArabiaWe introduce a new class of non-self-contractive mappings. For such mappings, we study the existence and uniqueness of best proximity points. Several applications and interesting consequences of our obtained results are derived.http://dx.doi.org/10.1155/2013/534127 |
| spellingShingle | Mohamed Jleli Erdal Karapınar Bessem Samet Best Proximity Points for Generalized α-ψ-Proximal Contractive Type Mappings Journal of Applied Mathematics |
| title | Best Proximity Points for Generalized α-ψ-Proximal Contractive Type Mappings |
| title_full | Best Proximity Points for Generalized α-ψ-Proximal Contractive Type Mappings |
| title_fullStr | Best Proximity Points for Generalized α-ψ-Proximal Contractive Type Mappings |
| title_full_unstemmed | Best Proximity Points for Generalized α-ψ-Proximal Contractive Type Mappings |
| title_short | Best Proximity Points for Generalized α-ψ-Proximal Contractive Type Mappings |
| title_sort | best proximity points for generalized α ψ proximal contractive type mappings |
| url | http://dx.doi.org/10.1155/2013/534127 |
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