This article is cited in 4 papers

An extraproximal method for solving equilibrium programming problems in a Hilbert space

A. S. Stukalov

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

Abstract: A regularized method of the proximal type for solving equilibrium problems in a Hilbert space is proposed. The method is combined with an approximation of the original problem. The convergence of the method is analyzed, and a regularizing operator is constructed.

Key words: equilibrium programming, regularization, approximation, extraproximal method, Nash game.

UDC: 519.658.4

Received: 28.11.2005

 English version: Computational Mathematics and Mathematical Physics, 2006, 46:5, 743–761

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