Nonsmooth variational-like inequalities and nonsmooth vector optimization

被引：0
|
作者：
M. Alshahrani
Q. H. Ansari
S. Al-Homidan
机构：
[1] King Fahd University of Petroleum and Minerals,Department of Mathematics and Statistics
[2] Aligarh Muslim University,Department of Mathematics
来源：
Optimization Letters | 2014年 / 8卷
关键词：
Nonsmooth vector variational-like inequalities; Nonsmooth variational-like inequalities; Nonsmooth vector optimization; Densely pseudomonotonicity; Scalarization; Existence results;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we consider nonsmooth vector variational-like inequalities and nonsmooth vector optimization problems. By using the scalarization method, we define nonsmooth variational-like inequalities by means of Clarke generalized directional derivative and study their relations with the vector optimizations and the scalarized optimization problems. Some existence results for solutions of our nonsmooth variational-like inequalities are presented under densely pseudomonotonicity or pseudomonotonicity assumption.
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收藏
页码：739 / 751
页数：12
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