Generalized Variational Inequalities Involving Relaxed Monotone Mappings and Nonexpansive Mappings

Generalized Variational Inequalities Involving Relaxed Monotone Mappings and Nonexpansive Mappings

<p/> <p>We consider the solvability of generalized variational inequalities involving multivalued relaxed monotone operators and single-valued nonexpansive mappings in the framework of Hilbert spaces. We also study the convergence criteria of iterative methods under some mild conditions....

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Bibliographic Details
Main Authors: Shang Meijuan, Qin Xiaolong
Format: Article
Language:English
Published: SpringerOpen 2007-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2007/020457
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spelling doaj-6a85e36eea734294a68983604b87516d2020-11-25T01:05:29ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2007-01-0120071020457Generalized Variational Inequalities Involving Relaxed Monotone Mappings and Nonexpansive MappingsShang MeijuanQin Xiaolong<p/> <p>We consider the solvability of generalized variational inequalities involving multivalued relaxed monotone operators and single-valued nonexpansive mappings in the framework of Hilbert spaces. We also study the convergence criteria of iterative methods under some mild conditions. Our results improve and extend the recent ones announced by many others.</p>http://www.journalofinequalitiesandapplications.com/content/2007/020457
collection DOAJ
language English
format Article
sources DOAJ
author Shang Meijuan
Qin Xiaolong
spellingShingle Shang Meijuan
Qin Xiaolong
Generalized Variational Inequalities Involving Relaxed Monotone Mappings and Nonexpansive Mappings
Journal of Inequalities and Applications
author_facet Shang Meijuan
Qin Xiaolong
author_sort Shang Meijuan
title Generalized Variational Inequalities Involving Relaxed Monotone Mappings and Nonexpansive Mappings
title_short Generalized Variational Inequalities Involving Relaxed Monotone Mappings and Nonexpansive Mappings
title_full Generalized Variational Inequalities Involving Relaxed Monotone Mappings and Nonexpansive Mappings
title_fullStr Generalized Variational Inequalities Involving Relaxed Monotone Mappings and Nonexpansive Mappings
title_full_unstemmed Generalized Variational Inequalities Involving Relaxed Monotone Mappings and Nonexpansive Mappings
title_sort generalized variational inequalities involving relaxed monotone mappings and nonexpansive mappings
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2007-01-01
description <p/> <p>We consider the solvability of generalized variational inequalities involving multivalued relaxed monotone operators and single-valued nonexpansive mappings in the framework of Hilbert spaces. We also study the convergence criteria of iterative methods under some mild conditions. Our results improve and extend the recent ones announced by many others.</p>
url http://www.journalofinequalitiesandapplications.com/content/2007/020457
work_keys_str_mv AT shangmeijuan generalizedvariationalinequalitiesinvolvingrelaxedmonotonemappingsandnonexpansivemappings
AT qinxiaolong generalizedvariationalinequalitiesinvolvingrelaxedmonotonemappingsandnonexpansivemappings
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