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A Modified Extra-Gradient Method with Bregman Divergence for Varitional Inequalities

A Modified Extra-Gradient Method with Bregman Divergence for Varitional Inequalities

A new method of extra-gradient type for the approximate solution of variational inequalities with pseudo-monotone and Lipschitz-continuous operators acting in a finite-dimensional linear normed space is proposed. A theorem on the convergence of the method is proved and, in the case of a monotone ope...

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Main Author: Семёнов, Владимир Викторович
Format: Article
Language:rus
Published: Кам'янець-Подільський національний університет імені Івана Огієнка 2019
Online Access:http://mcm-math.kpnu.edu.ua/article/view/174207
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spelling mcm-mathkpnueduua-article-1742072020-01-20T08:43:22Z A Modified Extra-Gradient Method with Bregman Divergence for Varitional Inequalities Модифицированный экстраградиентный метод с дивергенцией Брэгмана для вариационных неравенств Семёнов, Владимир Викторович A new method of extra-gradient type for the approximate solution of variational inequalities with pseudo-monotone and Lipschitz-continuous operators acting in a finite-dimensional linear normed space is proposed. A theorem on the convergence of the method is proved and, in the case of a monotone operator, non-asymptotic estimates of the effectiveness of the method are obtained Предложен новый метод экстраградиентного типа для решения вариационных неравенств с псевдомонотонными и липшицевыми операторами, действующими в конечномерном линейном нормированном пространстве. Доказана теорема сходимости метода и для случая монотонного оператора получены неасимптотические оценки эффективности метода Кам'янець-Подільський національний університет імені Івана Огієнка 2019-02-12 Article Article Рецензована Стаття application/pdf http://mcm-math.kpnu.edu.ua/article/view/174207 10.32626/2308-5878.2019-19.132-137 Mathematical and computer modelling. Series: Physical and mathematical sciences; 2019: Mathematical and computer modelling. Series: Physical and mathematical sciences. Issue 19; 132-137 Математичне та комп'ютерне моделювання. Серія: Фізико-математичні науки; 2019: Математичне та комп'ютерне моделювання. Серія: Фізико-математичні науки. Випуск 19; 132-137 2308-5878 10.32626/2308-5878.2019-19 rus http://mcm-math.kpnu.edu.ua/article/view/174207/174155 Авторське право (c) 2021 Владимир Викторович Семёнов
institution Mathematical and computer modelling. Series: Physical and mathematical sciences
collection OJS
language rus
format Article
author Семёнов, Владимир Викторович
spellingShingle Семёнов, Владимир Викторович
A Modified Extra-Gradient Method with Bregman Divergence for Varitional Inequalities
author_facet Семёнов, Владимир Викторович
author_sort Семёнов, Владимир Викторович
title A Modified Extra-Gradient Method with Bregman Divergence for Varitional Inequalities
title_short A Modified Extra-Gradient Method with Bregman Divergence for Varitional Inequalities
title_full A Modified Extra-Gradient Method with Bregman Divergence for Varitional Inequalities
title_fullStr A Modified Extra-Gradient Method with Bregman Divergence for Varitional Inequalities
title_full_unstemmed A Modified Extra-Gradient Method with Bregman Divergence for Varitional Inequalities
title_sort modified extra-gradient method with bregman divergence for varitional inequalities
title_alt Модифицированный экстраградиентный метод с дивергенцией Брэгмана для вариационных неравенств
description A new method of extra-gradient type for the approximate solution of variational inequalities with pseudo-monotone and Lipschitz-continuous operators acting in a finite-dimensional linear normed space is proposed. A theorem on the convergence of the method is proved and, in the case of a monotone operator, non-asymptotic estimates of the effectiveness of the method are obtained
publisher Кам'янець-Подільський національний університет імені Івана Огієнка
publishDate 2019
url http://mcm-math.kpnu.edu.ua/article/view/174207
work_keys_str_mv AT semënovvladimirviktorovič amodifiedextragradientmethodwithbregmandivergenceforvaritionalinequalities
AT semënovvladimirviktorovič modificirovannyjékstragradientnyjmetodsdivergenciejbrégmanadlâvariacionnyhneravenstv
AT semënovvladimirviktorovič modifiedextragradientmethodwithbregmandivergenceforvaritionalinequalities
first_indexed 2024-04-21T19:24:35Z
last_indexed 2024-04-21T19:24:35Z
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