Analysis of Subgradient Extragradient Iterative Schemes for Variational Inequalities

In this paper, we investigate the monotone variational inequality in Hilbert spaces. Based on Censor’s subgradient extragradient method, we propose two modified subgradient extragradient algorithms with self-adaptive and inertial techniques for finding the solution of the monotone variational inequa...

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Autores principales:	Danfeng Wu, Li-Jun Zhu, Zhuang Shan, Tzu-Chien Yin
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/0c1728e42d214949a1827721acf181a7
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id	oai:doaj.org-article:0c1728e42d214949a1827721acf181a7
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spelling	oai:doaj.org-article:0c1728e42d214949a1827721acf181a72021-11-15T01:19:16ZAnalysis of Subgradient Extragradient Iterative Schemes for Variational Inequalities2314-478510.1155/2021/2218666https://doaj.org/article/0c1728e42d214949a1827721acf181a72021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/2218666https://doaj.org/toc/2314-4785In this paper, we investigate the monotone variational inequality in Hilbert spaces. Based on Censor’s subgradient extragradient method, we propose two modified subgradient extragradient algorithms with self-adaptive and inertial techniques for finding the solution of the monotone variational inequality in real Hilbert spaces. Strong convergence analysis of the proposed algorithms have been obtained under some mild conditions.Danfeng WuLi-Jun ZhuZhuang ShanTzu-Chien YinHindawi LimitedarticleMathematicsQA1-939ENJournal of Mathematics, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Danfeng Wu Li-Jun Zhu Zhuang Shan Tzu-Chien Yin Analysis of Subgradient Extragradient Iterative Schemes for Variational Inequalities
description	In this paper, we investigate the monotone variational inequality in Hilbert spaces. Based on Censor’s subgradient extragradient method, we propose two modified subgradient extragradient algorithms with self-adaptive and inertial techniques for finding the solution of the monotone variational inequality in real Hilbert spaces. Strong convergence analysis of the proposed algorithms have been obtained under some mild conditions.
format	article
author	Danfeng Wu Li-Jun Zhu Zhuang Shan Tzu-Chien Yin
author_facet	Danfeng Wu Li-Jun Zhu Zhuang Shan Tzu-Chien Yin
author_sort	Danfeng Wu
title	Analysis of Subgradient Extragradient Iterative Schemes for Variational Inequalities
title_short	Analysis of Subgradient Extragradient Iterative Schemes for Variational Inequalities
title_full	Analysis of Subgradient Extragradient Iterative Schemes for Variational Inequalities
title_fullStr	Analysis of Subgradient Extragradient Iterative Schemes for Variational Inequalities
title_full_unstemmed	Analysis of Subgradient Extragradient Iterative Schemes for Variational Inequalities
title_sort	analysis of subgradient extragradient iterative schemes for variational inequalities
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/0c1728e42d214949a1827721acf181a7
work_keys_str_mv	AT danfengwu analysisofsubgradientextragradientiterativeschemesforvariationalinequalities AT lijunzhu analysisofsubgradientextragradientiterativeschemesforvariationalinequalities AT zhuangshan analysisofsubgradientextragradientiterativeschemesforvariationalinequalities AT tzuchienyin analysisofsubgradientextragradientiterativeschemesforvariationalinequalities
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Analysis of Subgradient Extragradient Iterative Schemes for Variational Inequalities

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