Connectedness of cone superefficient point sets in locally convex topological vector spaces

被引：38

作者：

Hu, YD ^{[1
]}

Ling, C

机构：

[1] Wenzhou Univ, Sch Math & Informat Sci, Wenzhou, Peoples R China

[2] Zhejiang Inst Finance & Econ, Dept Fundamental Sci, Hangzhou, Peoples R China

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2000年 / 107卷 / 02期

关键词：

cone efficient point set; cone superefficient point set; cone weakly compact set; connectedness;

D O I：

10.1023/A:1026412918497

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：

This paper studies the connectedness of the cone super-efficient point set in locally convex topological vector spaces. First, we prove a scalarization theorem for a cone superefficient point set. From this result, we obtain the connectedness of a cone superefficient point set under the conditions that the set is cone convex and cone weakly compact.

引用

页码：433 / 446

页数：14

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