Closedness of a Convex Cone and Application by Means of the End Set of a Convex Set

被引：0

作者：

Hui Hu

Qing Wang

机构：

[1] Northern Illinois University,Department of Mathematical Sciences

[2] The World Gates,undefined

[3] Inc.,undefined

来源：

Journal of Optimization Theory and Applications | 2011年 / 151卷

关键词：

Convex set; Convex cone; The end set of a convex set; The extent of a convex set; Convex function; Sublinear function;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This article presents new conditions that ensure the closedness of a convex cone in terms of the end set and the extent of its generator. The results significantly extend the classic condition. The new closedness conditions are utilized to obtain a simple formula of the least global error bound and a suitable regularity condition of the set containment problem for sublinear functions.

引用

页码：633 / 645

页数：12

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