Strong Convergence of a Modified Extragradient Method to the Minimum-Norm Solution of Variational Inequalities

Strong Convergence of a Modified Extragradient Method to the Minimum-Norm Solution of Variational Inequalities

We suggest and analyze a modified extragradient method for solving variational inequalities, which is convergent strongly to the minimum-norm solution of some variational inequality in an infinite-dimensional Hilbert space.

Bibliographic Details
Main Authors: Yonghong Yao, Muhammad Aslam Noor, Yeong-Cheng Liou
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/817436
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spelling doaj-274788f9131b4d1d9a03604c1968cef62020-11-24T23:48:03ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/817436817436Strong Convergence of a Modified Extragradient Method to the Minimum-Norm Solution of Variational InequalitiesYonghong Yao0Muhammad Aslam Noor1Yeong-Cheng Liou2Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, ChinaMathematics Department, COMSATS Institute of Information Technology, Islamabad 44000, PakistanDepartment of Information Management, Cheng Shiu University, Kaohsiung 833, TaiwanWe suggest and analyze a modified extragradient method for solving variational inequalities, which is convergent strongly to the minimum-norm solution of some variational inequality in an infinite-dimensional Hilbert space.http://dx.doi.org/10.1155/2012/817436
collection DOAJ
language English
format Article
sources DOAJ
author Yonghong Yao
Muhammad Aslam Noor
Yeong-Cheng Liou
spellingShingle Yonghong Yao
Muhammad Aslam Noor
Yeong-Cheng Liou
Strong Convergence of a Modified Extragradient Method to the Minimum-Norm Solution of Variational Inequalities
Abstract and Applied Analysis
author_facet Yonghong Yao
Muhammad Aslam Noor
Yeong-Cheng Liou
author_sort Yonghong Yao
title Strong Convergence of a Modified Extragradient Method to the Minimum-Norm Solution of Variational Inequalities
title_short Strong Convergence of a Modified Extragradient Method to the Minimum-Norm Solution of Variational Inequalities
title_full Strong Convergence of a Modified Extragradient Method to the Minimum-Norm Solution of Variational Inequalities
title_fullStr Strong Convergence of a Modified Extragradient Method to the Minimum-Norm Solution of Variational Inequalities
title_full_unstemmed Strong Convergence of a Modified Extragradient Method to the Minimum-Norm Solution of Variational Inequalities
title_sort strong convergence of a modified extragradient method to the minimum-norm solution of variational inequalities
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
description We suggest and analyze a modified extragradient method for solving variational inequalities, which is convergent strongly to the minimum-norm solution of some variational inequality in an infinite-dimensional Hilbert space.
url http://dx.doi.org/10.1155/2012/817436
work_keys_str_mv AT yonghongyao strongconvergenceofamodifiedextragradientmethodtotheminimumnormsolutionofvariationalinequalities
AT muhammadaslamnoor strongconvergenceofamodifiedextragradientmethodtotheminimumnormsolutionofvariationalinequalities
AT yeongchengliou strongconvergenceofamodifiedextragradientmethodtotheminimumnormsolutionofvariationalinequalities
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