A regularized continuous first-order prediction linearization method with a variable metric for solving equilibrium programming problems with an inaccurately prescribed set
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 4, pp. 637-649
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A regularized continuous variant of the first-order prediction linearization method in a variable-metric space is proposed for solving equilibrium problems with an inaccurately prescribed set. The convergence of the trajectory to a normal solution to this problem for an arbitrarily chosen initial point is proved. A regularizing operator is constructed.
@article{ZVMMF_2005_45_4_a6,
author = {A. B. Budak},
title = {A regularized continuous first-order prediction linearization method with a variable metric for solving equilibrium programming problems with an inaccurately prescribed set},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {637--649},
publisher = {mathdoc},
volume = {45},
number = {4},
year = {2005},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_4_a6/}
}
TY - JOUR AU - A. B. Budak TI - A regularized continuous first-order prediction linearization method with a variable metric for solving equilibrium programming problems with an inaccurately prescribed set JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2005 SP - 637 EP - 649 VL - 45 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_4_a6/ LA - ru ID - ZVMMF_2005_45_4_a6 ER -
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A. B. Budak. A regularized continuous first-order prediction linearization method with a variable metric for solving equilibrium programming problems with an inaccurately prescribed set. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 4, pp. 637-649. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_4_a6/