Geodesic
Partial regularization method for nonmonotone variational inequalities
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 3, pp. 355-364 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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D. A. Dyabilkin; I. V. Konnov. Partial regularization method for nonmonotone variational inequalities. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 3, pp. 355-364. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_3_a0/

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