Vector variational-like inequalities and vector optimization problems in Asplund spaces

被引：0
|
作者：
Bin Chen
Nan-Jing Huang
机构：
[1] Sichuan University,Department of Mathematics
来源：
Optimization Letters | 2012年 / 6卷
关键词：
Mordukhovich limiting subdifferential; Vector variational-like inequality; Vector optimization problem; Asplund space;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, the Minty vector variational-like inequality, the Stampacchia vector variational-like inequality, and the weak formulations of these two inequalities defined by means of Mordukhovich limiting subdifferentials are introduced and studied in Asplund spaces. Some relations between the vector variational-like inequalities and vector optimization problems are established by using the properties of Mordukhovich limiting subdifferentials. An existence theorem of solutions for the weak Minty vector variational-like inequality is also given.
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页码：1513 / 1525
页数：12
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