On a Counterexample in Analysis

被引：0
|
作者：
Polovinkin, E. S. [1 ]
机构：
[1] Moscow Inst Phys & Technol, Moscow, Russia
来源：
MATHEMATICAL NOTES | 2014年 / 95卷 / 1-2期
基金：
俄罗斯基础研究基金会;
关键词：
multivalued convex-valued Lipschitz mapping; support function; convex analysis; Cantor function;
D O I：
10.1134/S0001434614010118
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An example of multivalued convex-valued Lipschitz mapping from R-n into R-m such that, at any point, the support function of this mapping has no mixed derivatives in the sense of Gateaux with respect to the initial and conjugate variables is constructed.
引用
收藏
页码：110 / 114
页数：5
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