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JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva // Archive

Zhurnal SVMO, 2012, Volume 14, Number 2, Pages 87–104 (Mi svmo321)

In Middle Volga Mathematical Society

Projection generalized two-step extragradient methods for equilibrium problems

V. G. Malinov

Ulyanovsk State University

Abstract: Projection generalized two-step extragradient methods for solving of equilibrium programming problems are proposed whereby the saddle points are found on convex-concave continuously differentiable function with Lipschitz gradients specified on subset of the Euclidean space. For two methods the convergence and rate of convergence of the method are studied with the aid of tools from convex analysis, without requirement of strongly convexity or strongly monotony.

Keywords: convex concave function, equilibrium problem, projection generalized two-step extragradient methods.

UDC: 519.853.62

Received: 23.07.2012



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