This article is cited in 5 papers

Descent method for nonsmooth variational inequalities

I. V. Konnov

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

Abstract: A descent method with a gap function is proposed for a finite-dimensional variational inequality with nonintegrable and nonsmooth mapping. The convergence of the method with line search is established under strong monotonicity conditions on the underlying mapping.

Key words: variational inequality, nonsmooth mapping, descent method with gap function.

UDC: 519.642.8

Received: 29.11.2005

 English version: Computational Mathematics and Mathematical Physics, 2006, 46:7, 1186–1192

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