A Generalized System of Nonlinear Variational Inequalities in Banach Spaces

A Generalized System of Nonlinear Variational Inequalities in Banach Spaces

We introduce a new generalized system of nonlinear variational inequality problems (GSNVIP) by using the generalized projection method. Moreover, we introduce an iterative scheme for finding a solution to this problem. Moreover, some existence and strong convergence theorems are established in unifo...

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Main Authors: Prapairat Junlouchai, Anchalee Kaewcharoen, Somyot Plubtieng
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/869372
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spelling doaj-6e64b8b10ae44e4fb64ffd67af67f9ba2020-11-25T00:31:07ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/869372869372A Generalized System of Nonlinear Variational Inequalities in Banach SpacesPrapairat Junlouchai0Anchalee Kaewcharoen1Somyot Plubtieng2Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, ThailandDepartment of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, ThailandDepartment of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, ThailandWe introduce a new generalized system of nonlinear variational inequality problems (GSNVIP) by using the generalized projection method. Moreover, we introduce an iterative scheme for finding a solution to this problem. Moreover, some existence and strong convergence theorems are established in uniformly smooth and strictly convex Banach spaces under suitable conditions. The results presented in the paper improve and extend some recent results.http://dx.doi.org/10.1155/2014/869372
collection DOAJ
language English
format Article
sources DOAJ
author Prapairat Junlouchai
Anchalee Kaewcharoen
Somyot Plubtieng
spellingShingle Prapairat Junlouchai
Anchalee Kaewcharoen
Somyot Plubtieng
A Generalized System of Nonlinear Variational Inequalities in Banach Spaces
Abstract and Applied Analysis
author_facet Prapairat Junlouchai
Anchalee Kaewcharoen
Somyot Plubtieng
author_sort Prapairat Junlouchai
title A Generalized System of Nonlinear Variational Inequalities in Banach Spaces
title_short A Generalized System of Nonlinear Variational Inequalities in Banach Spaces
title_full A Generalized System of Nonlinear Variational Inequalities in Banach Spaces
title_fullStr A Generalized System of Nonlinear Variational Inequalities in Banach Spaces
title_full_unstemmed A Generalized System of Nonlinear Variational Inequalities in Banach Spaces
title_sort generalized system of nonlinear variational inequalities in banach spaces
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description We introduce a new generalized system of nonlinear variational inequality problems (GSNVIP) by using the generalized projection method. Moreover, we introduce an iterative scheme for finding a solution to this problem. Moreover, some existence and strong convergence theorems are established in uniformly smooth and strictly convex Banach spaces under suitable conditions. The results presented in the paper improve and extend some recent results.
url http://dx.doi.org/10.1155/2014/869372
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AT somyotplubtieng ageneralizedsystemofnonlinearvariationalinequalitiesinbanachspaces
AT prapairatjunlouchai generalizedsystemofnonlinearvariationalinequalitiesinbanachspaces
AT anchaleekaewcharoen generalizedsystemofnonlinearvariationalinequalitiesinbanachspaces
AT somyotplubtieng generalizedsystemofnonlinearvariationalinequalitiesinbanachspaces
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