Extragradient methods for searching for equilibrium points in the parametric problem of equilibrium programming

被引:0
作者
L. A. Artem’eva
机构
[1] Moscow State University,Faculty of Computational Mathematics and Cybernetics
来源
Computational Mathematics and Mathematical Physics | 2014年 / 54卷
关键词
convex programming; multicriteria problems; saddle point; Pareto point; primal extragradient method; dual extragradient method;
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学科分类号
摘要
The parametric problem of equilibrium programming is examined. The mathematical programming problem, the search for a saddle-point, the multicriteria search for a Pareto point, etc. are particular cases of this parametric problem. The primal and dual variants of the extragradient method are proposed as a tool for searching for equilibrium points. The convergence of both variants is analyzed.
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页码:1776 / 1787
页数:11
相关论文
共 4 条
[1]  
Antipin A S(2007)Multicriteria equilibrium programming: Extraproximal methods Comput. Math. Math. Phys. 47 1912-1927
[2]  
Antipin A S(2011)Multicriteria Equilibrium programming: Extragradient method Comput. Math. Math. Phys. 50 224-230
[3]  
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