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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2012 Volume 52, Number 4, Pages 585–601 (Mi zvmmf9681)

This article is cited in 2 papers

Regularized extragradient method for searching for an equilibrium point in two-person saddle-point games

L. A. Artem'eva

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992 Russia

Abstract: A two-person saddle-point game with approximately given input data is examined. Since, in games of this type, the search for an equilibrium point is unstable with respect to perturbations in the input data, two variants of the regularized extragradient method are proposed. Their convergence is analyzed, and a regularizing operator is constructed.

Key words: saddle point, equilibrium point, extragradient method, regularization method, regularizing operator.

UDC: 519.626

Received: 18.10.2011


 English version:
Computational Mathematics and Mathematical Physics, 2012, 52:4, 495–511

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