Multicriteria equilibrium programming: the extragradient method
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 2, pp. 234-241
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Multicriteria equilibrium programming includes as its particular cases mathematical programming, saddle point calculation, the multicriteria search for Pareto solutions, minimization with an equilibrium choice of the feasible set, etc. An extragradient method is proposed for the numerical solution of the multicriteria equilibrium programming problem, and the convergence of this method is examined.
@article{ZVMMF_2010_50_2_a2,
author = {A. S. Antipin and L. A. Artem'eva and F. P. Vasil'ev},
title = {Multicriteria equilibrium programming: the extragradient method},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {234--241},
publisher = {mathdoc},
volume = {50},
number = {2},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_2_a2/}
}
TY - JOUR AU - A. S. Antipin AU - L. A. Artem'eva AU - F. P. Vasil'ev TI - Multicriteria equilibrium programming: the extragradient method JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2010 SP - 234 EP - 241 VL - 50 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_2_a2/ LA - ru ID - ZVMMF_2010_50_2_a2 ER -
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A. S. Antipin; L. A. Artem'eva; F. P. Vasil'ev. Multicriteria equilibrium programming: the extragradient method. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 2, pp. 234-241. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_2_a2/