Contractibility and connectedness of efficient point sets

被引：8

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 / 104卷 / 03期

基金：

中国国家自然科学基金;

关键词：

efficient point set; positive proper efficient point set; contractibility; connectedness;

D O I：

10.1023/A:1004649928081

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：

Using the technique of space theory and set-valued analysis, we establish contractibility results for efficient point sets in a locally convex space and a path connectedness result for a positive proper efficient point set in a reflexive space. We also prove a connectedness result for a positive proper efficient point set in a locally convex space; as an application, we give a connectedness result for an efficient solution set in a locally convex space.

引用

页码：717 / 737

页数：21

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