Some Properties and Applications of the Hausdorff Distance

被引：0
|
作者：
A. V. Arutyunov
S. A. Vartapetov
S. E. Zhukovskiy
机构：
[1] Peoples’ Friendship University of Russia,Faculty of Computational Mathematics and Cybernetics
[2] Moscow State University,undefined
来源：
Journal of Optimization Theory and Applications | 2016年 / 171卷
关键词：
Hausdorff metric; Orthogonality in a normed space; Lipschitz continuity; 54C60; 49J52; 54E35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Some properties of Hausdorff distance are studied. It is shown that, in every infinite-dimensional normed space, there exists a pair of closed and bounded sets such that the distance between every two points of these sets is greater than the Hausdorff distance between these sets. A relation of the obtained result to set-valued analysis is discussed.
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页码：527 / 535
页数：8
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