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局部Lipschitz函数的弱方向D-正则性
引用本文:邹凯.局部Lipschitz函数的弱方向D-正则性[J].湘潭大学自然科学学报,1994(4).
作者姓名:邹凯
作者单位:湘潭大学数学系
摘    要:本文引进了弱方向D-正则的概念,得出了弱方向D-正则函数类在初等运算下的封闭性,证明了弱方向D-正则函数必为D-可表示的.

关 键 词:Clarke导数  广义梯度  Gateaux可微.

WEAKLY DIRECTIONAL D-REGVLARITY OF LOCALLY LIPSCHITZ FUNCTIONS
Zou Kai.WEAKLY DIRECTIONAL D-REGVLARITY OF LOCALLY LIPSCHITZ FUNCTIONS[J].Natural Science Journal of Xiangtan University,1994(4).
Authors:Zou Kai
Abstract:in this paper, the concept of weakly directional D-regularity is introducted. It is proved that weakly directionally D-regular functions have the closed proved that the weakly directionally D-regular function is D-representable.
Keywords:clarke derirative  the generalized gradient  gateaux differenticbility  
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