A regularized differential extraproximal method for finding an equilibrium in two-person saddle-point games
Numerical methods and programming, Tome 13 (2012) no. 1, pp. 149-160
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A two-person saddle-point game with approximate input data is considered. This problem is generally unstable with respect to the input data. To solve this problem, it is necessary to use specific methods called regularization methods. Three versions of the regularized differential extraproximal method are proposed and analyzed and their convergence is studied. A regularization operator is constructed.
Keywords:
saddle point; two-person saddle-point game; equilibrium point; extraproximal method; regularization method; regularization operator.
@article{VMP_2012_13_1_a15,
author = {F. P. Vasil'ev and A. S. Antipin and L. A. Artem'eva},
title = {A regularized differential extraproximal method for finding an equilibrium in two-person saddle-point games},
journal = {Numerical methods and programming},
pages = {149--160},
publisher = {mathdoc},
volume = {13},
number = {1},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMP_2012_13_1_a15/}
}
TY - JOUR AU - F. P. Vasil'ev AU - A. S. Antipin AU - L. A. Artem'eva TI - A regularized differential extraproximal method for finding an equilibrium in two-person saddle-point games JO - Numerical methods and programming PY - 2012 SP - 149 EP - 160 VL - 13 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMP_2012_13_1_a15/ LA - ru ID - VMP_2012_13_1_a15 ER -
%0 Journal Article %A F. P. Vasil'ev %A A. S. Antipin %A L. A. Artem'eva %T A regularized differential extraproximal method for finding an equilibrium in two-person saddle-point games %J Numerical methods and programming %D 2012 %P 149-160 %V 13 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/VMP_2012_13_1_a15/ %G ru %F VMP_2012_13_1_a15
F. P. Vasil'ev; A. S. Antipin; L. A. Artem'eva. A regularized differential extraproximal method for finding an equilibrium in two-person saddle-point games. Numerical methods and programming, Tome 13 (2012) no. 1, pp. 149-160. http://geodesic.mathdoc.fr/item/VMP_2012_13_1_a15/