Wiener-Hopf Equations Technique for General Variational Inequalities Involving Relaxed Monotone Mappings and Nonexpansive Mappings

Wiener-Hopf Equations Technique for General Variational Inequalities Involving Relaxed Monotone Mappings and Nonexpansive Mappings

<p/> <p>We show that the general variational inequalities are equivalent to the general Wiener-Hopf equations and use this alterative equivalence to suggest and analyze a new iterative method for finding the common element of the set of fixed points of a nonexpansive mapping and the set...

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Main Authors: Qin Xiaolong, Su Yongfu, Shang Meijuan
Format: Article
Language:English
Published: SpringerOpen 2007-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2007/064947
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spelling doaj-e19ac142fbd64fe68202565bd84b263c2020-11-24T21:35:56ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2007-01-0120071064947Wiener-Hopf Equations Technique for General Variational Inequalities Involving Relaxed Monotone Mappings and Nonexpansive MappingsQin XiaolongSu YongfuShang Meijuan<p/> <p>We show that the general variational inequalities are equivalent to the general Wiener-Hopf equations and use this alterative equivalence to suggest and analyze a new iterative method for finding the common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the general variational inequality involving multivalued relaxed monotone operators. Our results improve and extend recent ones announced by many others.</p>http://www.journalofinequalitiesandapplications.com/content/2007/064947
collection DOAJ
language English
format Article
sources DOAJ
author Qin Xiaolong
Su Yongfu
Shang Meijuan
spellingShingle Qin Xiaolong
Su Yongfu
Shang Meijuan
Wiener-Hopf Equations Technique for General Variational Inequalities Involving Relaxed Monotone Mappings and Nonexpansive Mappings
Journal of Inequalities and Applications
author_facet Qin Xiaolong
Su Yongfu
Shang Meijuan
author_sort Qin Xiaolong
title Wiener-Hopf Equations Technique for General Variational Inequalities Involving Relaxed Monotone Mappings and Nonexpansive Mappings
title_short Wiener-Hopf Equations Technique for General Variational Inequalities Involving Relaxed Monotone Mappings and Nonexpansive Mappings
title_full Wiener-Hopf Equations Technique for General Variational Inequalities Involving Relaxed Monotone Mappings and Nonexpansive Mappings
title_fullStr Wiener-Hopf Equations Technique for General Variational Inequalities Involving Relaxed Monotone Mappings and Nonexpansive Mappings
title_full_unstemmed Wiener-Hopf Equations Technique for General Variational Inequalities Involving Relaxed Monotone Mappings and Nonexpansive Mappings
title_sort wiener-hopf equations technique for general 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 show that the general variational inequalities are equivalent to the general Wiener-Hopf equations and use this alterative equivalence to suggest and analyze a new iterative method for finding the common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the general variational inequality involving multivalued relaxed monotone operators. Our results improve and extend recent ones announced by many others.</p>
url http://www.journalofinequalitiesandapplications.com/content/2007/064947
work_keys_str_mv AT qinxiaolong wienerhopfequationstechniqueforgeneralvariationalinequalitiesinvolvingrelaxedmonotonemappingsandnonexpansivemappings
AT suyongfu wienerhopfequationstechniqueforgeneralvariationalinequalitiesinvolvingrelaxedmonotonemappingsandnonexpansivemappings
AT shangmeijuan wienerhopfequationstechniqueforgeneralvariationalinequalitiesinvolvingrelaxedmonotonemappingsandnonexpansivemappings
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