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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 12, Pages 2083–2098
(Mi zvmmf4975)
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This article is cited in 3 scientific papers (total in 3 papers)
Regularized extragradient method for solving parametric multicriteria equilibrium programming problem
A. S. Antipina, L. A. Artem'evab, F. P. Vasil'evb a Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333 Russia
b Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992 Russia
Abstract:
A regularized extragradient method is designed for solving unstable multicriteria equilibrium programming problems. The convergence of the method is investigated, and a regularizing operator is constructed.
Key words:
convex programming, multicriteria problems, saddle point, Pareto point, extragradient method, regularization method, regularizing operator.
Received: 27.04.2010
Citation:
A. S. Antipin, L. A. Artem'eva, F. P. Vasil'ev, “Regularized extragradient method for solving parametric multicriteria equilibrium programming problem”, Zh. Vychisl. Mat. Mat. Fiz., 50:12 (2010), 2083–2098; Comput. Math. Math. Phys., 50:12 (2010), 1975–1989
Linking options:
https://www.mathnet.ru/eng/zvmmf4975 https://www.mathnet.ru/eng/zvmmf/v50/i12/p2083
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Statistics & downloads: |
Abstract page: | 527 | Full-text PDF : | 131 | References: | 84 | First page: | 30 |
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