Generalized vector variational-like inequalities and nonsmooth vector optimization problems

被引：10

作者：

Long, Xian-Jun ^{[2
]}

Peng, Jian-Wen ^{[1
]}

Wu, Soon-Yi ^{[3
]}

机构：

[1] Chongqing Normal Univ, Dept Math, Chongqing 400047, Peoples R China

[2] Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China

[3] Natl Cheng Kung Univ, Dept Math, Tainan 701, Taiwan

来源：

OPTIMIZATION | 2012年 / 61卷 / 09期

基金：

中国国家自然科学基金;

关键词：

generalized vector variational-like inequality; nonsmooth vector optimization problem; pseudoinvexity; invariant pseudomonotonicity; locally Lipschitz function; INVEX FUNCTIONS;

D O I：

10.1080/02331934.2010.538056

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 article, we establish some relationships between a solution of generalized vector variational-like inequalities and an efficient solution or a weakly efficient solution to the nonsmooth vector optimization problem under the assumptions of pseudoinvexity or invariant pseudomonotonicity. Our results extend and improve the corresponding results in the literature.

引用

页码：1075 / 1086

页数：12

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