Coupled Fixed Point Theorems for Weak Contraction Mappings under F-Invariant Set
We extend the recent results of the coupled fixed point theorems of Cho et al. (2012) by weakening the concept of the mixed monotone property. We also give some examples of a nonlinear contraction mapping, which is not applied to the existence of the coupled fixed point by the results of Cho et al....
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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/10.1155/2012/324874 |
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| author | Wutiphol Sintunavarat Yeol Je Cho Poom Kumam |
| author_facet | Wutiphol Sintunavarat Yeol Je Cho Poom Kumam |
| author_sort | Wutiphol Sintunavarat |
| collection | DOAJ |
| description | We extend the recent results of the coupled fixed point theorems of Cho et al. (2012) by weakening the concept of the mixed monotone property. We also give some examples of a nonlinear contraction mapping, which is not applied to the existence of the coupled fixed point by the results of Cho et al. but can be applied to our results. The main results extend and unify the results of Cho et al. and many results of the coupled fixed point theorems. |
| format | Article |
| id | doaj-art-3bedc7b10aa84b53aaaf32eab019f196 |
| 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-3bedc7b10aa84b53aaaf32eab019f1962025-02-03T01:21:43ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/324874324874Coupled Fixed Point Theorems for Weak Contraction Mappings under F-Invariant SetWutiphol Sintunavarat0Yeol Je Cho1Poom Kumam2Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok 10140, ThailandDepartment of Mathematics Education and RINS, Gyeongsang National University, Chinju 660-701, Republic of KoreaDepartment of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok 10140, ThailandWe extend the recent results of the coupled fixed point theorems of Cho et al. (2012) by weakening the concept of the mixed monotone property. We also give some examples of a nonlinear contraction mapping, which is not applied to the existence of the coupled fixed point by the results of Cho et al. but can be applied to our results. The main results extend and unify the results of Cho et al. and many results of the coupled fixed point theorems.http://dx.doi.org/10.1155/2012/324874 |
| spellingShingle | Wutiphol Sintunavarat Yeol Je Cho Poom Kumam Coupled Fixed Point Theorems for Weak Contraction Mappings under F-Invariant Set Abstract and Applied Analysis |
| title | Coupled Fixed Point Theorems for Weak Contraction Mappings under F-Invariant Set |
| title_full | Coupled Fixed Point Theorems for Weak Contraction Mappings under F-Invariant Set |
| title_fullStr | Coupled Fixed Point Theorems for Weak Contraction Mappings under F-Invariant Set |
| title_full_unstemmed | Coupled Fixed Point Theorems for Weak Contraction Mappings under F-Invariant Set |
| title_short | Coupled Fixed Point Theorems for Weak Contraction Mappings under F-Invariant Set |
| title_sort | coupled fixed point theorems for weak contraction mappings under f invariant set |
| url | http://dx.doi.org/10.1155/2012/324874 |
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