Geodesic
Regularization Extragradient Method for Lipschitz Continuous Mappings and Inverse Strongly-Monotone Mappings in Hilbert Spaces
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 11 Cet article a éte moissonné depuis la source Math-Net.Ru

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The purpose of this paper is to present a regularization variant of the extragradient method for finding a common element of the solution sets for a variational inequality problem involving a $\tilde k$-Lipschitz continuous monotone mapping $A$ and for a finite family of $\lambda_i$-inverse strongly-monotone operators $\{A_i\}^N_{i=1}$ from a closed convex subset $K$ into the Hilbert space $H$. 
@article{ZVMMF_2008_48_11_a1,
     author = {B. Nguyen},
     title = {Regularization {Extragradient} {Method} for {Lipschitz} {Continuous} {Mappings} and {Inverse} {Strongly-Monotone} {Mappings} in {Hilbert} {Spaces}},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1932},
     year = {2008},
     volume = {48},
     number = {11},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_11_a1/}
}
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B. Nguyen. Regularization Extragradient Method for Lipschitz Continuous Mappings and Inverse Strongly-Monotone Mappings in Hilbert Spaces. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 11. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_11_a1/