Viscosity Approximation Methods for Equilibrium Problems, Variational Inequality Problems of Infinitely Strict Pseudocontractions in Hilbert Spaces
We introduce an iterative scheme by the viscosity approximation method for finding a common element of the set of the solutions of the equilibrium problem and the set of fixed points of infinitely strict pseudocontractive mappings. Strong convergence theorems are established in Hilbert spaces. Our r...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/150145 |
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| _version_ | 1832549729909604352 |
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| author | Aihong Wang |
| author_facet | Aihong Wang |
| author_sort | Aihong Wang |
| collection | DOAJ |
| description | We introduce an iterative scheme by the viscosity approximation method for finding a common element of the set of the solutions of the equilibrium problem and the set of fixed points of infinitely strict pseudocontractive mappings. Strong convergence theorems are established in Hilbert spaces. Our results improve and extend the corresponding results announced by many others recently. |
| format | Article |
| id | doaj-art-8dc14508b38242c3b8ae8c7ec07b176c |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-8dc14508b38242c3b8ae8c7ec07b176c2025-02-03T06:08:48ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/150145150145Viscosity Approximation Methods for Equilibrium Problems, Variational Inequality Problems of Infinitely Strict Pseudocontractions in Hilbert SpacesAihong Wang0College of Science, Civil Aviation University of China, Tianjin 300300, ChinaWe introduce an iterative scheme by the viscosity approximation method for finding a common element of the set of the solutions of the equilibrium problem and the set of fixed points of infinitely strict pseudocontractive mappings. Strong convergence theorems are established in Hilbert spaces. Our results improve and extend the corresponding results announced by many others recently.http://dx.doi.org/10.1155/2012/150145 |
| spellingShingle | Aihong Wang Viscosity Approximation Methods for Equilibrium Problems, Variational Inequality Problems of Infinitely Strict Pseudocontractions in Hilbert Spaces Journal of Applied Mathematics |
| title | Viscosity Approximation Methods for Equilibrium Problems, Variational Inequality Problems of Infinitely Strict Pseudocontractions in Hilbert Spaces |
| title_full | Viscosity Approximation Methods for Equilibrium Problems, Variational Inequality Problems of Infinitely Strict Pseudocontractions in Hilbert Spaces |
| title_fullStr | Viscosity Approximation Methods for Equilibrium Problems, Variational Inequality Problems of Infinitely Strict Pseudocontractions in Hilbert Spaces |
| title_full_unstemmed | Viscosity Approximation Methods for Equilibrium Problems, Variational Inequality Problems of Infinitely Strict Pseudocontractions in Hilbert Spaces |
| title_short | Viscosity Approximation Methods for Equilibrium Problems, Variational Inequality Problems of Infinitely Strict Pseudocontractions in Hilbert Spaces |
| title_sort | viscosity approximation methods for equilibrium problems variational inequality problems of infinitely strict pseudocontractions in hilbert spaces |
| url | http://dx.doi.org/10.1155/2012/150145 |
| work_keys_str_mv | AT aihongwang viscosityapproximationmethodsforequilibriumproblemsvariationalinequalityproblemsofinfinitelystrictpseudocontractionsinhilbertspaces |