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
收藏
页码：1075 / 1086
页数：12
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