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.

引用

页码：369 / 376

页数：8

共 25 条

[1] Arrow Kenneth J., 1953, Contributions to the Theory of Games, P87
[2] SUPER EFFICIENCY IN VECTOR OPTIMIZATION
BORWEIN, JM
ZHUANG, D
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 338 (01) : 105 - 122
[3] Daniilidis A, 2000, LECT NOTES ECON MATH, V48, P119
[4] DEDIEU JP, 1978, CR ACAD SCI A MATH, V287, P941
[5] A GENERALIZATION OF THE ARROW-BARANKIN-BLACKWELL THEOREM IN NORMED SPACES
FERRO, F
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 158 (01) : 47 - 54
[6] Ferro F., 1999, Optimization, V46, P353
[7] Fu WT, 1996, P AM MATH SOC, V124, P1213
[8] 2 GENERALIZATIONS OF A THEOREM OF ARROW, BARANKIN, AND BLACKWELL
GALLAGHER, RJ
SALEH, OA
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1993, 31 (01) : 247 - 256
[9] THE ARROW-BARANKIN-BLACKWELL THEOREM IN A DUAL-SPACE SETTING
GALLAGHER, RJ
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1995, 84 (03) : 665 - 674
[10] CONNECTEDNESS OF EFFICIENT SOLUTION SETS FOR SET-VALUED MAPS IN NORMED SPACES
GONG, XH
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1994, 83 (01) : 83 - 96

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