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On linearization and continuous selections of functions

 

作者: H.Th Jongen,   D. Pallaschke,  

 

期刊: Optimization  （Taylor Available online 1988）
卷期: Volume 19, issue 3  

页码: 343-353

 

ISSN:0233-1934

 

年代: 1988

 

DOI:10.1080/02331938808843350

 

出版商: Akademic-Verlag

 

关键词: Continuous selection;critical point;normal form;quasidifferentiability;Clarke subdifferential;Primary:90C99;Secondary:58C27

 

数据来源: Taylor

 

摘要:

Letfni= 1,…p, be a finite number of differentiate functions on the Euclideann-space. We study continuous selections of these functions. The concept of a (non-degenerate) critical point is introduced. In a neighborhood of a noncritical point, the continuous selection turns out to be topologicaily equivalent with a linear function. This result remains true for locally Lipschitz functions.

 

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