This article is cited in 5 papers

Partial regularization method for nonmonotone variational inequalities

D. A. Dyabilkin, I. V. Konnov

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

Abstract: A variational inequality with a nonmonotone mapping is considered in a Euclidean space. A regularization method with respect to some of the variables is proposed for its solution. The convergence of the method is proved under a coercivity-type condition. The method is applied to an implicit optimization problem with an arbitrary perturbing mapping. The solution technique combines partial regularization and the dual descent method.

Key words: nonmonotone variational inequalities, partial regularization method, proof of convergence.

UDC: 519.658.4

Received: 14.05.2007

 English version: Computational Mathematics and Mathematical Physics, 2008, 48:3, 337–345

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