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.
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页码：433 / 446
页数：14
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