The Fermat rule for multifunctions on Banach spaces

被引：43

作者：

Zheng, XY ^{[1
]}

Ng, KF

机构：

[1] Yunnan Univ, Dept Math, Kunming 650091, Peoples R China

[2] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China

来源：

MATHEMATICAL PROGRAMMING | 2005年 / 104卷 / 01期

关键词：

multifunction; normal cone; coderivative; Pareto efficient point; Pareto solution;

D O I：

10.1007/s10107-004-0569-9

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

Using variational analysis, we study vector optimization problems with objectives being closed multifunctions on Banach spaces or in Asplund spaces. In particular, in terms of the coderivatives, we present Fermat's rules as necessary conditions for an optimal solution of the above problems. As applications, we also provide some necessary conditions (in terms of Clarke's normal cones or the limiting normal cones) for Pareto efficient points.

引用

页码：69 / 90

页数：22

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