Geodesic
Partial regularization method for nonmonotone variational inequalities
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 3, pp. 355-364

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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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     author = {D. A. Dyabilkin and I. V. Konnov},
     title = {Partial regularization method for nonmonotone variational inequalities},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {355--364},
     publisher = {mathdoc},
     volume = {48},
     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_3_a0/}
}
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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/