On vector variational-like inequalities and set-valued optimization problems

被引：10

作者：

Zeng, J. ^{[1
]}

Li, S. J. ^{[1
]}

机构：

[1] Chongqing Univ, Coll Math & Sci, Chongqing 400044, Peoples R China

来源：

OPTIMIZATION LETTERS | 2011年 / 5卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Set-valued optimization problem; Vector variational-like inequality; Generalized Lagrange multiplier rule; Generalized invexity;

D O I：

10.1007/s11590-010-0190-1

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, some solution relationships between set-valued optimization problems and vector variational-like inequalities are established under generalized invexities. In addition, a generalized Lagrange multiplier rule for a constrained set-valued optimization problem is obtained under C-preinvexity.

引用

页码：55 / 69

页数：15

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