General Iterative Algorithm for Nonexpansive Semigroups and Variational Inequalities in Hilbert Spaces

General Iterative Algorithm for Nonexpansive Semigroups and Variational Inequalities in Hilbert Spaces

<p>Abstract</p> <p>We introduce a general iterative method for finding the solution of the variational inequality problem over the fixed point set of a nonexpansive semigroup in a Hilbert space. We prove that the sequence converges strongly to a common element of the above two sets...

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Main Authors: Kang Jinlong, Su Yongfu, Zhang Xin
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2010/264052
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spelling doaj-b779e61ce195434bab658d759c45b5b92020-11-24T22:59:19ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101264052General Iterative Algorithm for Nonexpansive Semigroups and Variational Inequalities in Hilbert SpacesKang JinlongSu YongfuZhang Xin<p>Abstract</p> <p>We introduce a general iterative method for finding the solution of the variational inequality problem over the fixed point set of a nonexpansive semigroup in a Hilbert space. We prove that the sequence converges strongly to a common element of the above two sets under some parameters controlling conditions. Our results improve and generalize many known corresponding results.</p>http://www.journalofinequalitiesandapplications.com/content/2010/264052
collection DOAJ
language English
format Article
sources DOAJ
author Kang Jinlong
Su Yongfu
Zhang Xin
spellingShingle Kang Jinlong
Su Yongfu
Zhang Xin
General Iterative Algorithm for Nonexpansive Semigroups and Variational Inequalities in Hilbert Spaces
Journal of Inequalities and Applications
author_facet Kang Jinlong
Su Yongfu
Zhang Xin
author_sort Kang Jinlong
title General Iterative Algorithm for Nonexpansive Semigroups and Variational Inequalities in Hilbert Spaces
title_short General Iterative Algorithm for Nonexpansive Semigroups and Variational Inequalities in Hilbert Spaces
title_full General Iterative Algorithm for Nonexpansive Semigroups and Variational Inequalities in Hilbert Spaces
title_fullStr General Iterative Algorithm for Nonexpansive Semigroups and Variational Inequalities in Hilbert Spaces
title_full_unstemmed General Iterative Algorithm for Nonexpansive Semigroups and Variational Inequalities in Hilbert Spaces
title_sort general iterative algorithm for nonexpansive semigroups and variational inequalities in hilbert spaces
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2010-01-01
description <p>Abstract</p> <p>We introduce a general iterative method for finding the solution of the variational inequality problem over the fixed point set of a nonexpansive semigroup in a Hilbert space. We prove that the sequence converges strongly to a common element of the above two sets under some parameters controlling conditions. Our results improve and generalize many known corresponding results.</p>
url http://www.journalofinequalitiesandapplications.com/content/2010/264052
work_keys_str_mv AT kangjinlong generaliterativealgorithmfornonexpansivesemigroupsandvariationalinequalitiesinhilbertspaces
AT suyongfu generaliterativealgorithmfornonexpansivesemigroupsandvariationalinequalitiesinhilbertspaces
AT zhangxin generaliterativealgorithmfornonexpansivesemigroupsandvariationalinequalitiesinhilbertspaces
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