Semicontinuity of the solution set map to a set-valued weak vector variational inequality

被引：0
|
作者：
Chen, C. R. [1 ]
Li, S. J. [1 ]
机构：
[1] Chongqing Univ, Coll Math & Sci, Chongqing 400044, Peoples R China
来源：
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2007年 / 3卷 / 03期
关键词：
lower semicontinuity; upper semicontinuity; nonlinear scalarization function; parametric gap function; set-valued weak vector variational inequality;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper investigates the semicontinuity of the solution set map for a parametric set-valued weak vector variational inequality in Banach spaces. The upper semicontinuity and closedness of the solution set map are obtained. A parametric gap function is proposed by using a nonlinear scalarization function. By virtue of the parametric gap function and a key assumption, the lower semicontinuity of the solution set map is established.
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页码：519 / 528
页数：10
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