Examples and counterexamples in Lipschitz analysis

被引:0
|
作者
Fusek, P
Klatte, D
Kummer, B
机构
[1] Univ Zurich, Inst Operat Res, CH-8044 Zurich, Switzerland
[2] Humboldt Univ, Inst Math, D-10099 Berlin, Germany
来源
CONTROL AND CYBERNETICS | 2002年 / 31卷 / 03期
关键词
Lipschitz (multi-)functions; regularity concepts; generalized derivatives; application to stationary points; pathological Lipschitz functions;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In the analysis of functions and multi-valued mappings of Lipschitzian type, there are many different notions of Lipschitz behavior, regularity and generalized derivatives. We collect relevant examples illustrating the interrelations between various concepts, the differences with the smooth case, and the importance of certain assumptions and special classes of Lipschitz mappings in applications.
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页码:471 / 492
页数:22
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