The Demyanov Metric for Convex, Bounded Sets and Existence of Lipschitzian Selectors

被引：0
|
作者：
Lesniewski, Andrzej [1 ]
Rzezuchowski, Tadeusz [1 ]
机构：
[1] Warsaw Univ Technol, Fac Math & Informat Sci, PL-00661 Warsaw, Poland
来源：
JOURNAL OF CONVEX ANALYSIS | 2011年 / 18卷 / 03期
关键词：
Convex and bounded sets; the Demyanov metric; the Hausdorff metric; linear selectors; MULTIFUNCTIONS; SELECTIONS; SPACE;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that an alternative formula for the Demyanov metric permits to extend this metric to the family of convex, bounded sets which need not be closed. Existence of Lipschitzian, linear selectors is discussed.
引用
收藏
页码：737 / 747
页数：11
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