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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| Date: | 2019 |
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| Main Author: | |
| Format: | Article |
| Language: | Russian |
| Published: |
Кам'янець-Подільський національний університет імені Івана Огієнка
2019
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| Online Access: | http://mcm-math.kpnu.edu.ua/article/view/174207 |
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| Journal Title: | Mathematical and computer modelling. Series: Physical and mathematical sciences |
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Mathematical and computer modelling. Series: Physical and mathematical sciences| Summary: | 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 |
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