A new Abb theorem in normed vector spaces

被引：10
|
作者：
Göpfert, A
Tammer, C [1 ]
Zalinescu, C
机构：
[1] Univ Halle Wittenberg, FB Math & Informat, D-06099 Halle An Der Saale, Germany
[2] Alexandru Ioan Cuza Univ, Fac Math, Iasi 6600, Romania
来源：
OPTIMIZATION | 2004年 / 53卷 / 04期
关键词：
maximal point; properly efficient point; Henig efficient point; density results; asymptotic cone; asymptotically compact set;
D O I：
10.1080/02331930412331282427
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：
We extend the Arrow, Barankin and Blackwell (ABB) theorem for Henig efficient points for nonconvex sets in normed vector spaces. The novelty of our result is especially represented by the fact that we do not assume compactness of the set; in fact it can be an unbounded asymptotically compact set. Our result subsumes several generalizations of this important theorem.
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页码：369 / 376
页数：8
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