Projection Methods for a System of Nonlinear Mixed Variational Inequalities in Banach Spaces

The existence and uniqueness of solution for a system of nonlinear mixed variational inequality in Banach spaces is given firstly. A Mann iterative sequences with errors for this system of nonlinear mixed variational inequalities in Banach spaces is studied, by using the generalized f-projection ope...

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Main Authors: Zhong-Bao Wang, Guo-Ji Tang, Hong-Ling Zhang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2014/606109
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author Zhong-Bao Wang
Guo-Ji Tang
Hong-Ling Zhang
author_facet Zhong-Bao Wang
Guo-Ji Tang
Hong-Ling Zhang
author_sort Zhong-Bao Wang
collection DOAJ
description The existence and uniqueness of solution for a system of nonlinear mixed variational inequality in Banach spaces is given firstly. A Mann iterative sequences with errors for this system of nonlinear mixed variational inequalities in Banach spaces is studied, by using the generalized f-projection operator πKf. Our results extend the main results in (Verma (2005); Verma (2001)) from Hilbert spaces to Banach spaces.
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institution Kabale University
issn 2314-8896
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publishDate 2014-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-624edf5980814cddb7f4147326488efd2025-02-03T05:52:59ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/606109606109Projection Methods for a System of Nonlinear Mixed Variational Inequalities in Banach SpacesZhong-Bao Wang0Guo-Ji Tang1Hong-Ling Zhang2Department of Mathematics, Southwest Jiaotong University, Chengdu 610031, ChinaSchool of Science, Guangxi University for Nationalities, Nanning, Guangxi 530006, ChinaDepartment of Mathematics, Southwest Jiaotong University, Chengdu 610031, ChinaThe existence and uniqueness of solution for a system of nonlinear mixed variational inequality in Banach spaces is given firstly. A Mann iterative sequences with errors for this system of nonlinear mixed variational inequalities in Banach spaces is studied, by using the generalized f-projection operator πKf. Our results extend the main results in (Verma (2005); Verma (2001)) from Hilbert spaces to Banach spaces.http://dx.doi.org/10.1155/2014/606109
spellingShingle Zhong-Bao Wang
Guo-Ji Tang
Hong-Ling Zhang
Projection Methods for a System of Nonlinear Mixed Variational Inequalities in Banach Spaces
Journal of Function Spaces
title Projection Methods for a System of Nonlinear Mixed Variational Inequalities in Banach Spaces
title_full Projection Methods for a System of Nonlinear Mixed Variational Inequalities in Banach Spaces
title_fullStr Projection Methods for a System of Nonlinear Mixed Variational Inequalities in Banach Spaces
title_full_unstemmed Projection Methods for a System of Nonlinear Mixed Variational Inequalities in Banach Spaces
title_short Projection Methods for a System of Nonlinear Mixed Variational Inequalities in Banach Spaces
title_sort projection methods for a system of nonlinear mixed variational inequalities in banach spaces
url http://dx.doi.org/10.1155/2014/606109
work_keys_str_mv AT zhongbaowang projectionmethodsforasystemofnonlinearmixedvariationalinequalitiesinbanachspaces
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AT honglingzhang projectionmethodsforasystemofnonlinearmixedvariationalinequalitiesinbanachspaces