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

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...

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Main Authors: Meijuan Shang, Xiaolong Qin, Yongfu Su
Format: Article
Language:English
Published: SpringerOpen 2007-12-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2007/64947
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spelling doaj-d500b776ece7459c872968c3a82754ab2020-11-24T21:33:53ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2007-12-01200710.1155/2007/64947Wiener-Hopf Equations Technique for General Variational Inequalities Involving Relaxed Monotone Mappings and Nonexpansive MappingsMeijuan ShangXiaolong QinYongfu SuWe 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.http://dx.doi.org/10.1155/2007/64947
collection DOAJ
language English
format Article
sources DOAJ
author Meijuan Shang
Xiaolong Qin
Yongfu Su
spellingShingle Meijuan Shang
Xiaolong Qin
Yongfu Su
Wiener-Hopf Equations Technique for General Variational Inequalities Involving Relaxed Monotone Mappings and Nonexpansive Mappings
Journal of Inequalities and Applications
author_facet Meijuan Shang
Xiaolong Qin
Yongfu Su
author_sort Meijuan Shang
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 2007-12-01
description 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.
url http://dx.doi.org/10.1155/2007/64947
work_keys_str_mv AT meijuanshang wienerhopfequationstechniqueforgeneralvariationalinequalitiesinvolvingrelaxedmonotonemappingsandnonexpansivemappings
AT xiaolongqin wienerhopfequationstechniqueforgeneralvariationalinequalitiesinvolvingrelaxedmonotonemappingsandnonexpansivemappings
AT yongfusu wienerhopfequationstechniqueforgeneralvariationalinequalitiesinvolvingrelaxedmonotonemappingsandnonexpansivemappings
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