Characterizations of the Benson proper efficiency for nonconvex vector optimization

被引：118

作者：

Chen, GY ^{[1
]}

Rong, WD

机构：

[1] Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China

[2] Inner Mongolia Univ, Dept Math, Hohhot, Inner Mongolia, Peoples R China

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1998年 / 98卷 / 02期

基金：

中国国家自然科学基金;

关键词：

generalized cone-subconvexlikeness; vector optimization; proper efficiency; scalarization; Lagrangian multipliers; saddle-point criterion; duality;

D O I：

10.1023/A:1022689517921

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：

Under generalized cone-subconvexlikeness for vector-valued mappings in locally-convex Hausdorff topological vector spaces, a Gordan-form alternative theorem is derived. Some characterizations of the Benson proper effciency under this generalized convexity are established in terms of scalarization, Lagrangian multipliers, saddle-point criterion, and duality.

引用

页码：365 / 384

页数：20

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