A nonconvex separation property and some applications

被引：0
|
作者：
Alejandro Jofré
Jorge Rivera Cayupi
机构：
[1] Universidad de Chile,Centre for Mathematical Modelling and Departamento de Ingeniería Matemática
[2] Universidad de Chile,Departamento de Economía
来源：
Mathematical Programming | 2006年 / 108卷
关键词：
Variational analysis; Subgradient set; Nonconvex separation; Singular multiplier; Equilibrium price; Pareto optimum;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we proved a nonconvex separation property for general sets which coincides with the Hahn-Banach separation theorem when sets are convexes. Properties derived from the main result are used to compute the subgradient set to the distance function in special cases and they are also applied to extending the Second Welfare Theorem in economics and proving the existence of singular multipliers in Optimization.
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页码：37 / 51
页数：14
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