Geodesic
A regularized extragradient method for solving variational inequalities
Numerical methods and programming, Tome 3 (2002) no. 1, pp. 237-244.

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A regularized variant of the extragradient method is proposed for solving variational inequalities with inexact operators. A regularizing operator is constructed. Applications of this method to optimization problems, saddle-point problems, and equilibrium programming are briefly discussed.
Keywords: extragradient method, variational inequalities, regularizing operator, optimization problems, saddle-point problems, equilibrium programming. 
@article{VMP_2002_3_1_a19,
     author = {A. S. Antipin and F. P. Vasil'ev},
     title = {A regularized extragradient method for solving variational inequalities},
     journal = {Numerical methods and programming},
     pages = {237--244},
     publisher = {mathdoc},
     volume = {3},
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     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2002_3_1_a19/}
}
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A. S. Antipin; F. P. Vasil'ev. A regularized extragradient method for solving variational inequalities. Numerical methods and programming, Tome 3 (2002) no. 1, pp. 237-244. http://geodesic.mathdoc.fr/item/VMP_2002_3_1_a19/