Scalarization of Henig proper efficient points in a normed space

被引：18

作者：

Zheng, XY ^{[1
]}

机构：

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

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2000年 / 105卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Henig proper efficient points; superefficient points; scalarization; vector optimization;

D O I：

10.1023/A:1004626414839

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In a general normed space equipped with the order induced by a closed convex cone with a base, using a family of continuous monotone Minkowski functionals and a family of continuous norms, we obtain scalar characterizations of Henig proper efficient points of a general set and a bounded set, respectively. Moreover, we give a scalar characterization of a superefficient point of a set in a normed space equipped with the order induced by a closed convex cone with a bounded base.

引用

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页码：233 / 247

页数：15

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