Strong Convergence Algorithm for Split Equilibrium Problems and Hierarchical Fixed Point Problems
The purpose of this paper is to investigate the problem of finding the approximate element of the common set of solutions of a split equilibrium problem and a hierarchical fixed point problem in a real Hilbert space. We establish the strong convergence of the proposed method under some mild conditio...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/390956 |
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| _version_ | 1832547320690900992 |
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| author | Abdellah Bnouhachem |
| author_facet | Abdellah Bnouhachem |
| author_sort | Abdellah Bnouhachem |
| collection | DOAJ |
| description | The purpose of this paper is to investigate the problem of finding the approximate element of the common set of solutions of a split equilibrium problem and a hierarchical fixed point problem in a real Hilbert space. We establish the strong convergence of the proposed method under some mild conditions. Several special cases are also discussed. Our main result extends and improves some well-known results in the literature. |
| format | Article |
| id | doaj-art-cfbbf10d566043d388183458b70282b2 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-cfbbf10d566043d388183458b70282b22025-02-03T06:45:27ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/390956390956Strong Convergence Algorithm for Split Equilibrium Problems and Hierarchical Fixed Point ProblemsAbdellah Bnouhachem0School of Management Science and Engineering, Nanjing University, Nanjing 210093, ChinaThe purpose of this paper is to investigate the problem of finding the approximate element of the common set of solutions of a split equilibrium problem and a hierarchical fixed point problem in a real Hilbert space. We establish the strong convergence of the proposed method under some mild conditions. Several special cases are also discussed. Our main result extends and improves some well-known results in the literature.http://dx.doi.org/10.1155/2014/390956 |
| spellingShingle | Abdellah Bnouhachem Strong Convergence Algorithm for Split Equilibrium Problems and Hierarchical Fixed Point Problems The Scientific World Journal |
| title | Strong Convergence Algorithm for Split Equilibrium Problems and Hierarchical Fixed Point Problems |
| title_full | Strong Convergence Algorithm for Split Equilibrium Problems and Hierarchical Fixed Point Problems |
| title_fullStr | Strong Convergence Algorithm for Split Equilibrium Problems and Hierarchical Fixed Point Problems |
| title_full_unstemmed | Strong Convergence Algorithm for Split Equilibrium Problems and Hierarchical Fixed Point Problems |
| title_short | Strong Convergence Algorithm for Split Equilibrium Problems and Hierarchical Fixed Point Problems |
| title_sort | strong convergence algorithm for split equilibrium problems and hierarchical fixed point problems |
| url | http://dx.doi.org/10.1155/2014/390956 |
| work_keys_str_mv | AT abdellahbnouhachem strongconvergencealgorithmforsplitequilibriumproblemsandhierarchicalfixedpointproblems |