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

被引：0

作者：

Lam Quoc Anh

Phan Quoc Khanh

Dinh Ngoc Quy

机构：

[1] Cantho University,Department of Mathematics

[2] Vietnam National University Hochiminh City,Department of Mathematics, International University

来源：

Set-Valued and Variational Analysis | 2014年 / 22卷

关键词：

Semi-limits; Semicontinuity; Solution maps; Quasivariational inclusions; Quasivariational relation problems; Quasivariational equilibrium problems; 90C31; 49J53;

D O I：

暂无

中图分类号：

学科分类号：

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

页码：533 / 555

页数：22

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