CONVEXIFICATION OF SUPER WEAKLY COMPACT SETS AND MEASURE OF SUPER WEAK NONCOMPACTNESS

被引：5
|
作者：
Tu, Kun [1 ]
机构：
[1] Yangzhou Univ, Sch Math Sci, Siwangting Rd 180, Yangzhou 225002, Jiangsu, Peoples R China
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2021年 / 149卷 / 06期
关键词：
D O I：
10.1090/proc/15393
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the paper, we give a quantitative version of the positive answer to the open question about the convex hull of a super weakly compact set. Measure of super weak noncompactness sigma is introduced and proved to share several nice properties with the Hausdorff measure of noncompactness. As an application, a fixed point theorem for sigma-condensing maps is given.
引用
收藏
页码：2531 / 2538
页数：8
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