Approximate solutions and optimality conditions of vector variational inequalities in Banach spaces

被引：19

作者：

Yang, X. Q. ^{[1
]}

Zheng, X. Y. ^{[2
]}

机构：

[1] Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China

[2] Yunnan Univ, Dept Math, Kunming 650091, Peoples R China

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2008年 / 40卷 / 1-3期

关键词：

vector variational inequality; approximate solution; optimality condition;

D O I：

10.1007/s10898-007-9183-8

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, we introduce and discuss the notion of epsilon-solutions of vector variational inequalities. Using convex analysis and nonsmooth analysis, we provide some sufficient conditions and necessary conditions for a point to be an epsilon-solution of vector variational inequalities.

引用

页码：455 / 462

页数：8

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