The Tikhonov Regularization Method for Set-Valued Variational Inequalities

The Tikhonov Regularization Method for Set-Valued Variational Inequalities

This paper aims to establish the Tikhonov regularization theory for set-valued variational inequalities. For this purpose, we firstly prove a very general existence result for set-valued variational inequalities, provided that the mapping involved has the so-called variational inequality property an...

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Main Author: Yiran He
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/172061
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spelling doaj-c2daee48896c46c5abfd9b22d76ab3a32020-11-24T23:06:34ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/172061172061The Tikhonov Regularization Method for Set-Valued Variational InequalitiesYiran He0Department of Mathematics, Sichuan Normal University Chengdu, Sichuan 610066, ChinaThis paper aims to establish the Tikhonov regularization theory for set-valued variational inequalities. For this purpose, we firstly prove a very general existence result for set-valued variational inequalities, provided that the mapping involved has the so-called variational inequality property and satisfies a rather weak coercivity condition. The result on the Tikhonov regularization improves some known results proved for single-valued mapping.http://dx.doi.org/10.1155/2012/172061
collection DOAJ
language English
format Article
sources DOAJ
author Yiran He
spellingShingle Yiran He
The Tikhonov Regularization Method for Set-Valued Variational Inequalities
Abstract and Applied Analysis
author_facet Yiran He
author_sort Yiran He
title The Tikhonov Regularization Method for Set-Valued Variational Inequalities
title_short The Tikhonov Regularization Method for Set-Valued Variational Inequalities
title_full The Tikhonov Regularization Method for Set-Valued Variational Inequalities
title_fullStr The Tikhonov Regularization Method for Set-Valued Variational Inequalities
title_full_unstemmed The Tikhonov Regularization Method for Set-Valued Variational Inequalities
title_sort tikhonov regularization method for set-valued variational inequalities
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
description This paper aims to establish the Tikhonov regularization theory for set-valued variational inequalities. For this purpose, we firstly prove a very general existence result for set-valued variational inequalities, provided that the mapping involved has the so-called variational inequality property and satisfies a rather weak coercivity condition. The result on the Tikhonov regularization improves some known results proved for single-valued mapping.
url http://dx.doi.org/10.1155/2012/172061
work_keys_str_mv AT yiranhe thetikhonovregularizationmethodforsetvaluedvariationalinequalities
AT yiranhe tikhonovregularizationmethodforsetvaluedvariationalinequalities
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