函数的次微分性质
Characteristics of Subdifferentials of Functions
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摘要: 本文给出了函数的Fenchel次微分、Frechet次微分,Hadamard次微分,Gateaux次微分的一些重要性质,并对函数的性质尤其是凸性给出其次微分刻画。
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关键词:
- 次微分 /
- 广义中值定理 /
- 凸性质 /
- LiPschitz性质 /
- 单调
Abstract: In the presem paper, some important characteristics of Fenchel-, Frechet-,Hademard-, and Gateaux-Subdifferentials are showed up, and properties of functions, especially convexity of functions, are described by subdifferentials.-
Key words:
- subdifferential /
- generalized mean value theorem /
- convexity /
- Lipschitz /
- monotone
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