New Hybrid Steepest Descent Algorithms for Equilibrium Problem and Infinitely Many Strict Pseudo-Contractions in Hilbert Spaces
We propose an explicit iterative scheme for finding a common element of the set of fixed points of infinitely many strict pseudo-contractive mappings and the set of solutions of an equilibrium problem by the general iterative method, which solves the variational inequality. In the setting of real Hi...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/139123 |
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| _version_ | 1850211711285460992 |
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| author | Peichao Duan |
| author_facet | Peichao Duan |
| author_sort | Peichao Duan |
| collection | DOAJ |
| description | We propose an explicit iterative scheme for finding a common
element of the set of fixed points of infinitely many strict pseudo-contractive mappings and
the set of solutions of an equilibrium problem by the general iterative method, which solves
the variational inequality. In the setting of real Hilbert spaces, strong convergence theorems
are proved. The results presented in this paper improve and extend the corresponding
results reported by some authors recently. Furthermore, two numerical examples are given
to demonstrate the effectiveness of our iterative scheme. |
| format | Article |
| id | doaj-art-9004f82f5da7436c97d07e7ad59afa13 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-9004f82f5da7436c97d07e7ad59afa132025-08-20T02:09:30ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/139123139123New Hybrid Steepest Descent Algorithms for Equilibrium Problem and Infinitely Many Strict Pseudo-Contractions in Hilbert SpacesPeichao Duan0College of Science, Civil Aviation University of China, Tianjin 300300, ChinaWe propose an explicit iterative scheme for finding a common element of the set of fixed points of infinitely many strict pseudo-contractive mappings and the set of solutions of an equilibrium problem by the general iterative method, which solves the variational inequality. In the setting of real Hilbert spaces, strong convergence theorems are proved. The results presented in this paper improve and extend the corresponding results reported by some authors recently. Furthermore, two numerical examples are given to demonstrate the effectiveness of our iterative scheme.http://dx.doi.org/10.1155/2013/139123 |
| spellingShingle | Peichao Duan New Hybrid Steepest Descent Algorithms for Equilibrium Problem and Infinitely Many Strict Pseudo-Contractions in Hilbert Spaces Journal of Applied Mathematics |
| title | New Hybrid Steepest Descent Algorithms for Equilibrium Problem and Infinitely Many Strict Pseudo-Contractions in Hilbert Spaces |
| title_full | New Hybrid Steepest Descent Algorithms for Equilibrium Problem and Infinitely Many Strict Pseudo-Contractions in Hilbert Spaces |
| title_fullStr | New Hybrid Steepest Descent Algorithms for Equilibrium Problem and Infinitely Many Strict Pseudo-Contractions in Hilbert Spaces |
| title_full_unstemmed | New Hybrid Steepest Descent Algorithms for Equilibrium Problem and Infinitely Many Strict Pseudo-Contractions in Hilbert Spaces |
| title_short | New Hybrid Steepest Descent Algorithms for Equilibrium Problem and Infinitely Many Strict Pseudo-Contractions in Hilbert Spaces |
| title_sort | new hybrid steepest descent algorithms for equilibrium problem and infinitely many strict pseudo contractions in hilbert spaces |
| url | http://dx.doi.org/10.1155/2013/139123 |
| work_keys_str_mv | AT peichaoduan newhybridsteepestdescentalgorithmsforequilibriumproblemandinfinitelymanystrictpseudocontractionsinhilbertspaces |