Relaxed Viscosity Approximation Methods with Regularization for Constrained Minimization Problems

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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Bibliographic Details
Main Authors: Lu-Chuan Ceng, Hong-Kun Xu, Ching-Feng Wen
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/531859
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spelling doaj-7ae5ad85862c45da99f831d54f40eeda2020-11-24T22:56:52ZengHindawi LimitedJournal 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
collection DOAJ
language English
format Article
sources DOAJ
author Lu-Chuan Ceng
Hong-Kun Xu
Ching-Feng Wen
spellingShingle Lu-Chuan Ceng
Hong-Kun Xu
Ching-Feng Wen
Relaxed Viscosity Approximation Methods with Regularization for Constrained Minimization Problems
Journal of Applied Mathematics
author_facet Lu-Chuan Ceng
Hong-Kun Xu
Ching-Feng Wen
author_sort Lu-Chuan Ceng
title Relaxed Viscosity Approximation Methods with Regularization for Constrained Minimization Problems
title_short 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_sort relaxed viscosity approximation methods with regularization for constrained minimization problems
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2013-01-01
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.
url http://dx.doi.org/10.1155/2013/531859
work_keys_str_mv AT luchuanceng relaxedviscosityapproximationmethodswithregularizationforconstrainedminimizationproblems
AT hongkunxu relaxedviscosityapproximationmethodswithregularizationforconstrainedminimizationproblems
AT chingfengwen relaxedviscosityapproximationmethodswithregularizationforconstrainedminimizationproblems
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