About Semicontinuity of Set-valued Maps and Stability of Quasivariational Inclusions

被引：7
|
作者：
Lam Quoc Anh [1 ]
Phan Quoc Khanh [2 ]
Dinh Ngoc Quy [1 ]
机构：
[1] Cantho Univ, Dept Math, Can Tho, Vietnam
[2] Vietnam Natl Univ Hochiminh City, Int Univ, Dept Math, Ho Chi Minh City, Vietnam
来源：
SET-VALUED AND VARIATIONAL ANALYSIS | 2014年 / 22卷 / 03期
关键词：
Semi-limits; Semicontinuity; Solution maps; Quasivariational inclusions; Quasivariational relation problems; Quasivariational equilibrium problems; EQUILIBRIUM PROBLEMS; EXISTENCE; PRINCIPLE; SENSITIVITY;
D O I：
10.1007/s11228-014-0276-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We propose several additional kinds of semi-limits and corresponding notions of semicontinuity of a set-valued map. They can be used additionally to known basic concepts of semicontinuity to have a clearer insight of local behaviors of maps. Then, we investigate semicontinuity properties of solution maps to a general parametric quasivariational inclusion, which is shown to include most of optimization-related problems. Consequences are derived for several particular problems. Our results are new or generalize/improve recent existing ones in the literature.
引用
收藏
页码：533 / 555
页数：23
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