Strong Convergence Theorems for Mixed Equilibrium Problem and Asymptotically I-Nonexpansive Mapping in Banach Spaces
This paper aims to use a hybrid algorithm for finding a common element of a fixed point problem for a finite family of asymptotically nonexpansive mappings and the set solutions of mixed equilibrium problem in uniformly smooth and uniformly convex Banach space. Then, we prove some strong convergence...
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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/10.1155/2014/965737 |
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| _version_ | 1832555135445762048 |
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| author | Bin-Chao Deng Tong Chen Yi-Lin Yin |
| author_facet | Bin-Chao Deng Tong Chen Yi-Lin Yin |
| author_sort | Bin-Chao Deng |
| collection | DOAJ |
| description | This paper aims to use a hybrid algorithm for finding a common element of a fixed point problem for a finite family of asymptotically nonexpansive mappings and the set solutions of mixed equilibrium problem in uniformly smooth and uniformly convex Banach space. Then, we prove some strong convergence theorems of the proposed hybrid algorithm to a common element of the above two sets under some suitable conditions. |
| format | Article |
| id | doaj-art-cf5c29df129a49198bc98259edf4ca83 |
| 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-cf5c29df129a49198bc98259edf4ca832025-02-03T05:49:37ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/965737965737Strong Convergence Theorems for Mixed Equilibrium Problem and Asymptotically I-Nonexpansive Mapping in Banach SpacesBin-Chao Deng0Tong Chen1Yi-Lin Yin2School of Management, Tianjin University of Technology, Tianjin 300384, ChinaSchool of Management, Tianjin University, Tianjin 300072, ChinaSchool of Management, Tianjin University of Technology, Tianjin 300384, ChinaThis paper aims to use a hybrid algorithm for finding a common element of a fixed point problem for a finite family of asymptotically nonexpansive mappings and the set solutions of mixed equilibrium problem in uniformly smooth and uniformly convex Banach space. Then, we prove some strong convergence theorems of the proposed hybrid algorithm to a common element of the above two sets under some suitable conditions.http://dx.doi.org/10.1155/2014/965737 |
| spellingShingle | Bin-Chao Deng Tong Chen Yi-Lin Yin Strong Convergence Theorems for Mixed Equilibrium Problem and Asymptotically I-Nonexpansive Mapping in Banach Spaces Abstract and Applied Analysis |
| title | Strong Convergence Theorems for Mixed Equilibrium Problem and Asymptotically I-Nonexpansive Mapping in Banach Spaces |
| title_full | Strong Convergence Theorems for Mixed Equilibrium Problem and Asymptotically I-Nonexpansive Mapping in Banach Spaces |
| title_fullStr | Strong Convergence Theorems for Mixed Equilibrium Problem and Asymptotically I-Nonexpansive Mapping in Banach Spaces |
| title_full_unstemmed | Strong Convergence Theorems for Mixed Equilibrium Problem and Asymptotically I-Nonexpansive Mapping in Banach Spaces |
| title_short | Strong Convergence Theorems for Mixed Equilibrium Problem and Asymptotically I-Nonexpansive Mapping in Banach Spaces |
| title_sort | strong convergence theorems for mixed equilibrium problem and asymptotically i nonexpansive mapping in banach spaces |
| url | http://dx.doi.org/10.1155/2014/965737 |
| work_keys_str_mv | AT binchaodeng strongconvergencetheoremsformixedequilibriumproblemandasymptoticallyinonexpansivemappinginbanachspaces AT tongchen strongconvergencetheoremsformixedequilibriumproblemandasymptoticallyinonexpansivemappinginbanachspaces AT yilinyin strongconvergencetheoremsformixedequilibriumproblemandasymptoticallyinonexpansivemappinginbanachspaces |