Relaxed Viscosity Approximation Methods with Regularization for Constrained Minimization Problems
We introduce a new relaxed viscosity approximation method with regularization and prove the strong convergence of the method to a common fixed point of finitely many nonexpansive mappings and a strict pseudocontraction that also solves a convex minimization problem and a suitable equilibrium problem...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/531859 |
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| _version_ | 1832566828649414656 |
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| author | Lu-Chuan Ceng Hong-Kun Xu Ching-Feng Wen |
| author_facet | Lu-Chuan Ceng Hong-Kun Xu Ching-Feng Wen |
| author_sort | Lu-Chuan Ceng |
| collection | DOAJ |
| description | We introduce a new relaxed viscosity approximation method with regularization and prove the strong convergence of the method to a common fixed point of finitely many nonexpansive mappings and a strict pseudocontraction that also solves a convex
minimization problem and a suitable equilibrium problem. |
| format | Article |
| id | doaj-art-7ae5ad85862c45da99f831d54f40eeda |
| 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-7ae5ad85862c45da99f831d54f40eeda2025-02-03T01:03:09ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/531859531859Relaxed Viscosity Approximation Methods with Regularization for Constrained Minimization ProblemsLu-Chuan Ceng0Hong-Kun Xu1Ching-Feng Wen2Department of Mathematics, Shanghai Normal University, Scientific Computing Key Laboratory of Shanghai Universities, Shanghai 200234, ChinaDepartment of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 80424, TaiwanCenter for Fundamental Science, Kaohsiung Medical University, Kaohsiung 807, TaiwanWe introduce a new relaxed viscosity approximation method with regularization and prove the strong convergence of the method to a common fixed point of finitely many nonexpansive mappings and a strict pseudocontraction that also solves a convex minimization problem and a suitable equilibrium problem.http://dx.doi.org/10.1155/2013/531859 |
| spellingShingle | Lu-Chuan Ceng Hong-Kun Xu Ching-Feng Wen Relaxed Viscosity Approximation Methods with Regularization for Constrained Minimization Problems Journal of Applied Mathematics |
| title | Relaxed Viscosity Approximation Methods with Regularization for Constrained Minimization Problems |
| title_full | Relaxed Viscosity Approximation Methods with Regularization for Constrained Minimization Problems |
| title_fullStr | Relaxed Viscosity Approximation Methods with Regularization for Constrained Minimization Problems |
| title_full_unstemmed | Relaxed Viscosity Approximation Methods with Regularization for Constrained Minimization Problems |
| title_short | Relaxed Viscosity Approximation Methods with Regularization for Constrained Minimization Problems |
| title_sort | relaxed viscosity approximation methods with regularization for constrained minimization problems |
| url | http://dx.doi.org/10.1155/2013/531859 |
| work_keys_str_mv | AT luchuanceng relaxedviscosityapproximationmethodswithregularizationforconstrainedminimizationproblems AT hongkunxu relaxedviscosityapproximationmethodswithregularizationforconstrainedminimizationproblems AT chingfengwen relaxedviscosityapproximationmethodswithregularizationforconstrainedminimizationproblems |