Optimality conditions in non-convex set-valued optimization

被引：0

作者：

Fabián Flores-Bazán

机构：

[1] Universidad de Concepción,

[2] Facultad de Ciencias Fı´sicas y Matemáticas,undefined

[3] Departamento de Ingenierı´a Matemática,undefined

[4] Casilla 160-C,undefined

[5] Concepción,undefined

[6] Chile. (e-mail: fflores@ing-mat.udec.cl),undefined

来源：

Mathematical Methods of Operations Research | 2001年 / 53卷

关键词：

Key words: Non-convex set-valued optimization; weak Pareto minima; closed radial cone; epiderivatives; optimality conditions; 2000 subject classification. 90C26; 90C29; 90C46; 90C48.;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The notion of radial epiderivative is introduced and then a necessary and sufficient condition for a point to be a weak minimal solution (weak-efficient solution) for a non-convex set-valued optimization problem is derived. Such a condition subsumes various necessary and/or sufficient conditions found in the literature for single-valued convex/non-convex mappings.

引用

页码：403 / 417

页数：14