A regularized extragradient method for solving equilibrium programming problems with an inexactly specified set
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 4, pp. 650-660
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Unstable equilibrium problems are examined in which the objective function and the set where the equilibrium point is sought are inexactly specified. A regularized gradient-type method is proposed for solving such problems, and its convergence is analyzed. A regularizing operator is constructed.
@article{ZVMMF_2005_45_4_a7,
author = {A. S. Antipin and F. P. Vasil'ev and S. V. Shpirko},
title = {A regularized extragradient method for solving equilibrium programming problems with an inexactly specified set},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {650--660},
publisher = {mathdoc},
volume = {45},
number = {4},
year = {2005},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_4_a7/}
}
TY - JOUR AU - A. S. Antipin AU - F. P. Vasil'ev AU - S. V. Shpirko TI - A regularized extragradient method for solving equilibrium programming problems with an inexactly specified set JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2005 SP - 650 EP - 660 VL - 45 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_4_a7/ LA - ru ID - ZVMMF_2005_45_4_a7 ER -
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A. S. Antipin; F. P. Vasil'ev; S. V. Shpirko. A regularized extragradient method for solving equilibrium programming problems with an inexactly specified set. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 4, pp. 650-660. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_4_a7/