Semicontinuity of the approximate solution sets of multivalued quasiequilibrium problems

被引：44

作者：

Anh, Lam Quoc ^{[2
]}

Khanh, Phan Quoc ^{[1
]}

机构：

[1] Int Univ Hochiminh City, Dept Math, Ho Chi Minh City, Vietnam

[2] Cantho Univ, Teachers Coll, Dept Math, Can Tho, Vietnam

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2008年 / 29卷 / 1-2期

关键词：

closedness of multifunctions; epsilon-fixed points; epsilon-quasioptimization problems; epsilon-solutions; Hausdorff lower and upper semicontinuity; lower and upper semicontinuity; quasiequilibrium problems; quasivariational inequalities;

D O I：

10.1080/01630560701873068

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider two kinds of approximate solutions and approximate solution sets to multivalued quasiequilibrium problems. Sufficient conditions for the lower semicontinuity, Hausdorff lower semicontinuity, upper semicontinuity, Hausdorff upper semicontinuity, and closedness of these approximate solution sets are established. Applications in approximate quasivariational inequalities, approximate fixed points, and approximate quasioptimization problems are provided.

引用

页码：24 / 42

页数：19

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