Hybrid Algorithms of Nonexpansive Semigroups for Variational Inequalities

Two hybrid algorithms for the variational inequalities over the common fixed points set of nonexpansive semigroups are presented. Strong convergence results of these two hybrid algorithms have been obtained in Hilbert spaces. The results improve and extend some corresponding results in the literatur...

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Main Authors: Peixia Yang, Yonghong Yao, Yeong-Cheng Liou, Rudong Chen
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/634927
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author Peixia Yang
Yonghong Yao
Yeong-Cheng Liou
Rudong Chen
author_facet Peixia Yang
Yonghong Yao
Yeong-Cheng Liou
Rudong Chen
author_sort Peixia Yang
collection DOAJ
description Two hybrid algorithms for the variational inequalities over the common fixed points set of nonexpansive semigroups are presented. Strong convergence results of these two hybrid algorithms have been obtained in Hilbert spaces. The results improve and extend some corresponding results in the literature.
format Article
id doaj-art-f26f99a249944303ab26209acf00a05f
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-f26f99a249944303ab26209acf00a05f2025-02-03T01:21:18ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/634927634927Hybrid Algorithms of Nonexpansive Semigroups for Variational InequalitiesPeixia Yang0Yonghong Yao1Yeong-Cheng Liou2Rudong Chen3Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, ChinaDepartment of Mathematics, Tianjin Polytechnic University, Tianjin 300387, ChinaDepartment of Information Management, Cheng Shiu University, Kaohsiung 833, TaiwanDepartment of Mathematics, Tianjin Polytechnic University, Tianjin 300387, ChinaTwo hybrid algorithms for the variational inequalities over the common fixed points set of nonexpansive semigroups are presented. Strong convergence results of these two hybrid algorithms have been obtained in Hilbert spaces. The results improve and extend some corresponding results in the literature.http://dx.doi.org/10.1155/2012/634927
spellingShingle Peixia Yang
Yonghong Yao
Yeong-Cheng Liou
Rudong Chen
Hybrid Algorithms of Nonexpansive Semigroups for Variational Inequalities
Journal of Applied Mathematics
title Hybrid Algorithms of Nonexpansive Semigroups for Variational Inequalities
title_full Hybrid Algorithms of Nonexpansive Semigroups for Variational Inequalities
title_fullStr Hybrid Algorithms of Nonexpansive Semigroups for Variational Inequalities
title_full_unstemmed Hybrid Algorithms of Nonexpansive Semigroups for Variational Inequalities
title_short Hybrid Algorithms of Nonexpansive Semigroups for Variational Inequalities
title_sort hybrid algorithms of nonexpansive semigroups for variational inequalities
url http://dx.doi.org/10.1155/2012/634927
work_keys_str_mv AT peixiayang hybridalgorithmsofnonexpansivesemigroupsforvariationalinequalities
AT yonghongyao hybridalgorithmsofnonexpansivesemigroupsforvariationalinequalities
AT yeongchengliou hybridalgorithmsofnonexpansivesemigroupsforvariationalinequalities
AT rudongchen hybridalgorithmsofnonexpansivesemigroupsforvariationalinequalities