Explicit Scheme for Fixed Point Problem for Nonexpansive Semigroup and Split Equilibrium Problem in Hilbert Space
We establish an iterative method for finding a common element of the set of fixed points of nonexpansive semigroup and the set of split equilibrium problems. Under suitable conditions, some strong convergence theorems are proved. Our works improve previous results for nonexpansive semigroup.
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/858679 |
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| _version_ | 1832560357772623872 |
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| author | Pei Zhou Gou-Jie Zhao |
| author_facet | Pei Zhou Gou-Jie Zhao |
| author_sort | Pei Zhou |
| collection | DOAJ |
| description | We establish an iterative method for finding a common element of the set of fixed points of nonexpansive semigroup and the set of split equilibrium problems. Under suitable conditions, some strong convergence theorems are proved. Our works improve previous results for nonexpansive semigroup. |
| format | Article |
| id | doaj-art-f32f2e83d0014c47b361397520875719 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-f32f2e83d0014c47b3613975208757192025-02-03T01:27:52ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/858679858679Explicit Scheme for Fixed Point Problem for Nonexpansive Semigroup and Split Equilibrium Problem in Hilbert SpacePei Zhou0Gou-Jie Zhao1School of Management, Tianjin University, Tianjin 300072, ChinaSchool of Management, Tianjin University, Tianjin 300072, ChinaWe establish an iterative method for finding a common element of the set of fixed points of nonexpansive semigroup and the set of split equilibrium problems. Under suitable conditions, some strong convergence theorems are proved. Our works improve previous results for nonexpansive semigroup.http://dx.doi.org/10.1155/2014/858679 |
| spellingShingle | Pei Zhou Gou-Jie Zhao Explicit Scheme for Fixed Point Problem for Nonexpansive Semigroup and Split Equilibrium Problem in Hilbert Space Journal of Applied Mathematics |
| title | Explicit Scheme for Fixed Point Problem for Nonexpansive Semigroup and Split Equilibrium Problem in Hilbert Space |
| title_full | Explicit Scheme for Fixed Point Problem for Nonexpansive Semigroup and Split Equilibrium Problem in Hilbert Space |
| title_fullStr | Explicit Scheme for Fixed Point Problem for Nonexpansive Semigroup and Split Equilibrium Problem in Hilbert Space |
| title_full_unstemmed | Explicit Scheme for Fixed Point Problem for Nonexpansive Semigroup and Split Equilibrium Problem in Hilbert Space |
| title_short | Explicit Scheme for Fixed Point Problem for Nonexpansive Semigroup and Split Equilibrium Problem in Hilbert Space |
| title_sort | explicit scheme for fixed point problem for nonexpansive semigroup and split equilibrium problem in hilbert space |
| url | http://dx.doi.org/10.1155/2014/858679 |
| work_keys_str_mv | AT peizhou explicitschemeforfixedpointproblemfornonexpansivesemigroupandsplitequilibriumprobleminhilbertspace AT goujiezhao explicitschemeforfixedpointproblemfornonexpansivesemigroupandsplitequilibriumprobleminhilbertspace |