Vector variational-like inequalities and non-smooth vector optimization problems

被引：49
|
作者：
Mishra, SK
Wang, SY
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 1000800, Peoples R China
[2] Govind Ballabh Pant Univ Agr & Technol, Coll Basic Sci & Humanities, Dept Math Stat & Comp Sci, Pantnagar 263145, Uttar Pradesh, India
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2006年 / 64卷 / 09期
基金：
中国国家自然科学基金;
关键词：
non-smooth vector optimization; pseudo-invex functions; vector variational-like inequality problems;
D O I：
10.1016/j.na.2005.07.030
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish relationships between vector variational-like inequality problems and non-smooth vector optimization problems under non-smooth invexity. We identify the vector critical points, the weakly efficient points and the solutions of the non-smooth weak vector variational-like inequality problems, under non-smooth pseudo-invexity assumptions. These conditions are more general than those existing in the literature. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1939 / 1945
页数：7
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