| 局部Lipschitz函数的弱次微分正则性 |
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| 引用本文： | 邹凯,李以泉.局部Lipschitz函数的弱次微分正则性[J].湘潭大学自然科学学报,1996,18(3):29-31. |
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| 作者姓名： | 邹凯 李以泉 |
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| 作者单位： | 湘潭大学数学系 |
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| 摘 要： | 本文引进了局部Ｌｉｐｓｃｈｉｔｚ函数的弱次微分正则的定义，获得了局部Ｌｉｐｓｃｈｉｔｚ函数弱次微分正则的充要条件，证明了弱次微分正则函数是Ｄ－可表示的，并推广了ＣｏｒｒｅａＲ等的一些相应的结果．
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| 关 键 词： | Clarke导数，Dini导数，Gateaux可微 |
WEAKLY SUBDIFFERENTIABLE REGULARITYOF LOCALLY LIPSCHITZ FUNCTIONS |
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| Zou Kai,Li Yiquan.WEAKLY SUBDIFFERENTIABLE REGULARITYOF LOCALLY LIPSCHITZ FUNCTIONS[J].Natural Science Journal of Xiangtan University,1996,18(3):29-31. |
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| Authors: | Zou Kai Li Yiquan |
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| Abstract: | It is proved that the weakly subdifferentiable regular function is D-repre sentable. Some relerant results of correa R are extended. |
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| Keywords: | clarke derivative dini derivative gateaux differentiability |
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