ε-strictly efficient solutions of vector optimization problems with set-valued maps

被引：11

作者：

Li, Taiyong ^{[1
]}

Xu, Yihong ^{[1
]}

Zhu, Chuanxi ^{[1
]}

机构：

[1] Nanchang Univ, Dept Math, Nanchang 330031, Peoples R China

来源：

ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH | 2007年 / 24卷 / 06期

基金：

中国国家自然科学基金;

关键词：

epsilon-strictly efficient solution; ic-cone-convexlikeness; epsilon-strict saddle point; epsilon-strict duality;

D O I：

10.1142/S0217595907001577

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：

In this paper, the notion of epsilon-strictly efficient solution for vector optimization with set-valued maps is introduced. Under the assumption of the ic-cone-convexlikeness for set-valued maps, the scalarization theorem, epsilon-Lagrangian multiplier theorem, epsilon-saddle point theorems and epsilon-duality assertions are established for epsilon-strictly efficient solution.

引用

页码：841 / 854

页数：14

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