Generalized Proximal ψ-Contraction Mappings and Best Proximity Points
We generalized the notion of proximal contractions of the first and the second kinds and established the best proximity point theorems for these classes. Our results improve and extend recent result of Sadiq Basha (2011) and some authors.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/896912 |
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| _version_ | 1832552567127670784 |
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| author | Winate Sanhan Chirasak Mongkolkeha Poom Kumam |
| author_facet | Winate Sanhan Chirasak Mongkolkeha Poom Kumam |
| author_sort | Winate Sanhan |
| collection | DOAJ |
| description | We generalized the notion of proximal contractions of the first and the second kinds and established the best proximity point theorems for these classes. Our results improve and extend recent result of Sadiq Basha (2011) and some authors. |
| format | Article |
| id | doaj-art-5fea0e2bd34f48d69234166c45c8c703 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-5fea0e2bd34f48d69234166c45c8c7032025-02-03T05:58:17ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/896912896912Generalized Proximal ψ-Contraction Mappings and Best Proximity PointsWinate Sanhan0Chirasak Mongkolkeha1Poom Kumam2Department of Mathematics, Faculty of Liberal Arts and Science, Kasetsart University, Kamphaeng-Saen Campus, Nakhonpathom 73140, ThailandDepartment of Mathematics, Faculty of Liberal Arts and Science, Kasetsart University, Kamphaeng-Saen Campus, Nakhonpathom 73140, ThailandDepartment of Mathematics, Faculty of Science, King Mongkut's, University of Technology Thonburi (KMUTT), Bangmod, Thrungkru, Bangkok 10140, ThailandWe generalized the notion of proximal contractions of the first and the second kinds and established the best proximity point theorems for these classes. Our results improve and extend recent result of Sadiq Basha (2011) and some authors.http://dx.doi.org/10.1155/2012/896912 |
| spellingShingle | Winate Sanhan Chirasak Mongkolkeha Poom Kumam Generalized Proximal ψ-Contraction Mappings and Best Proximity Points Abstract and Applied Analysis |
| title | Generalized Proximal ψ-Contraction Mappings and Best Proximity Points |
| title_full | Generalized Proximal ψ-Contraction Mappings and Best Proximity Points |
| title_fullStr | Generalized Proximal ψ-Contraction Mappings and Best Proximity Points |
| title_full_unstemmed | Generalized Proximal ψ-Contraction Mappings and Best Proximity Points |
| title_short | Generalized Proximal ψ-Contraction Mappings and Best Proximity Points |
| title_sort | generalized proximal ψ contraction mappings and best proximity points |
| url | http://dx.doi.org/10.1155/2012/896912 |
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