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.
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页码：233 / 247
页数：15
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