On minty variational principle for nonsmooth vector optimization problems with approximate convexity

被引：10
|
作者：
Mishra, S. K. [1 ]
Laha, Vivek [1 ]
机构：
[1] Banaras Hindu Univ, Fac Sci, Dept Math, Varanasi 221005, Uttar Pradesh, India
来源：
OPTIMIZATION LETTERS | 2016年 / 10卷 / 03期
关键词：
Nonsmooth vector optimization; Approximately convex functions; Clarke subdifferentials; Approximate vector variational inequalities; INEQUALITY; DIFFERENCE;
D O I：
10.1007/s11590-015-0883-6
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 consider a vector optimization problem involving locally Lipschitz approximately convex functions and give several concepts of approximate efficient solutions. We formulate approximate vector variational inequalities of Stampacchia and Minty type and use these inequalities as a tool to characterize an approximate efficient solution of the vector optimization problem.
引用
收藏
页码：577 / 589
页数：13
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