Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 11
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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/
@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/}
}
TY - JOUR
AU - B. Nguyen
TI - Regularization Extragradient Method for Lipschitz Continuous Mappings and Inverse Strongly-Monotone Mappings in Hilbert Spaces
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 2008
SP - 1932
VL - 48
IS - 11
UR - http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_11_a1/
LA - en
ID - ZVMMF_2008_48_11_a1
ER -
%0 Journal Article
%A B. Nguyen
%T Regularization Extragradient Method for Lipschitz Continuous Mappings and Inverse Strongly-Monotone Mappings in Hilbert Spaces
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2008
%P 1932
%V 48
%N 11
%U http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_11_a1/
%G en
%F ZVMMF_2008_48_11_a1
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 $H$.
