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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| Datum: | 2019 |
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| Format: | Artikel |
| Sprache: | Russisch |
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Кам'янець-Подільський національний університет імені Івана Огієнка
2019
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| Online Zugang: | http://mcm-math.kpnu.edu.ua/article/view/174207 |
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| Назва журналу: | Mathematical and computer modelling. Series: Physical and mathematical sciences |
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Mathematical and computer modelling. Series: Physical and mathematical sciences| _version_ | 1856543238426460160 |
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| author | Семёнов, Владимир Викторович |
| author_facet | Семёнов, Владимир Викторович |
| author_sort | Семёнов, Владимир Викторович |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2020-01-20T08:43:22Z |
| 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 |
| first_indexed | 2025-07-17T10:43:20Z |
| format | Article |
| id | mcm-mathkpnueduua-article-174207 |
| institution | Mathematical and computer modelling. Series: Physical and mathematical sciences |
| language | Russian |
| last_indexed | 2025-07-17T10:43:20Z |
| publishDate | 2019 |
| publisher | Кам'янець-Подільський національний університет імені Івана Огієнка |
| record_format | ojs |
| 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 ru http://mcm-math.kpnu.edu.ua/article/view/174207/174155 Авторське право (c) 2021 Владимир Викторович Семёнов |
| spellingShingle | Семёнов, Владимир Викторович A Modified Extra-Gradient Method with Bregman Divergence for Varitional Inequalities |
| title | A Modified Extra-Gradient Method with Bregman Divergence for Varitional Inequalities |
| title_alt | Модифицированный экстраградиентный метод с дивергенцией Брэгмана для вариационных неравенств |
| 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_short | A Modified Extra-Gradient Method with Bregman Divergence for Varitional Inequalities |
| title_sort | modified extra-gradient method with bregman divergence for varitional inequalities |
| url | http://mcm-math.kpnu.edu.ua/article/view/174207 |
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