General Iterative Methods for System of Equilibrium Problems and Constrained Convex Minimization Problem in Hilbert Spaces
We propose an implicit iterative scheme and an explicit iterative scheme for finding a common element of the set of solutions of system of equilibrium problems and a constrained convex minimization problem by the general iterative methods. In the setting of real Hilbert spaces, strong convergence th...
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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/10.1155/2013/957363 |
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| _version_ | 1832562292497055744 |
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| author | Peichao Duan |
| author_facet | Peichao Duan |
| author_sort | Peichao Duan |
| collection | DOAJ |
| description | We propose an implicit iterative scheme and an explicit iterative scheme for finding a common element of the set of solutions of system of equilibrium problems and a constrained convex minimization problem by the general iterative methods. In the setting of real Hilbert spaces, strong convergence theorems are proved. Our results improve and extend the corresponding results reported by Tian and Liu (2012) and many others. Furthermore, we give numerical example to demonstrate the effectiveness of our iterative scheme. |
| format | Article |
| id | doaj-art-da5d52edd22f47fa96e6acbfd0d2bd68 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-da5d52edd22f47fa96e6acbfd0d2bd682025-02-03T01:23:03ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/957363957363General Iterative Methods for System of Equilibrium Problems and Constrained Convex Minimization Problem in Hilbert SpacesPeichao Duan0College of Science, Civil Aviation University of China, Tianjin 300300, ChinaWe propose an implicit iterative scheme and an explicit iterative scheme for finding a common element of the set of solutions of system of equilibrium problems and a constrained convex minimization problem by the general iterative methods. In the setting of real Hilbert spaces, strong convergence theorems are proved. Our results improve and extend the corresponding results reported by Tian and Liu (2012) and many others. Furthermore, we give numerical example to demonstrate the effectiveness of our iterative scheme.http://dx.doi.org/10.1155/2013/957363 |
| spellingShingle | Peichao Duan General Iterative Methods for System of Equilibrium Problems and Constrained Convex Minimization Problem in Hilbert Spaces Journal of Applied Mathematics |
| title | General Iterative Methods for System of Equilibrium Problems and Constrained Convex Minimization Problem in Hilbert Spaces |
| title_full | General Iterative Methods for System of Equilibrium Problems and Constrained Convex Minimization Problem in Hilbert Spaces |
| title_fullStr | General Iterative Methods for System of Equilibrium Problems and Constrained Convex Minimization Problem in Hilbert Spaces |
| title_full_unstemmed | General Iterative Methods for System of Equilibrium Problems and Constrained Convex Minimization Problem in Hilbert Spaces |
| title_short | General Iterative Methods for System of Equilibrium Problems and Constrained Convex Minimization Problem in Hilbert Spaces |
| title_sort | general iterative methods for system of equilibrium problems and constrained convex minimization problem in hilbert spaces |
| url | http://dx.doi.org/10.1155/2013/957363 |
| work_keys_str_mv | AT peichaoduan generaliterativemethodsforsystemofequilibriumproblemsandconstrainedconvexminimizationprobleminhilbertspaces |