Geodesic
Solution method for monotone mixed variational inequalities
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 153 (2011) no. 1, pp. 221-230

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In this article, we propose a method, which combines the techniques of regularization and descent over a gap (merit) function, for solving a monotone mixed variational inequality. The same uniformly convex auxiliary function is used for the construction of both regularized problems and gap functions. To solve the regularized problems, we apply the method of descent over a gap function with inexact line search.
Keywords: mixed variational inequality, gap function, descent method, uniformly convex function. 
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     author = {I. V. Konnov and O. V. Pinyagina},
     title = {Solution method for monotone mixed variational inequalities},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {221--230},
     publisher = {mathdoc},
     volume = {153},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2011_153_1_a17/}
}
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I. V. Konnov; O. V. Pinyagina. Solution method for monotone mixed variational inequalities. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 153 (2011) no. 1, pp. 221-230. http://geodesic.mathdoc.fr/item/UZKU_2011_153_1_a17/