This article is cited in 10 papers

A descent method with inexact linear search for nonsmooth equilibrium problems

I. V. Konnov, O. V. Pinyagina

Faculty of Computational Mathematics and Cybernetics, Kazan State University, ul. Kremlevskaya 18, Kazan, 420008, Tatarstan, Russia

Abstract: A descent method with respect to the gap function is formulated and justified for the nonsmooth equilibrium problem. It uses the procedure of inexact linear search of the Armijo type. The proposed method converges under the same assumptions as the methods with exact linear search.

Key words: nonsmooth equilibrium problems, numerical descent method, inexact linear search.

UDC: 519.658

Received: 21.12.2007

 English version: Computational Mathematics and Mathematical Physics, 2008, 48:10, 1777–1783

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