| 2-致光滑且2-致凸Banach空间上的下半连续函数的Proximal次微分与广义中值定理 |
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| 引用本文： | 王丰,胡长松.2-致光滑且2-致凸Banach空间上的下半连续函数的Proximal次微分与广义中值定理[J].湖北师范学院学报(自然科学版),2000,20(1):46-51. |
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| 作者姓名： | 王丰 胡长松 |
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| 作者单位： | 湖北师范学院数学系,黄石,435002 |
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| 摘 要： | 证明在2-致光滑且2-致凸Banach空间X上，一般下半连续函数的逼近中值定理在Proximal次微分意义下也成立．
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| 关 键 词： | Proximal次微分 2-致光滑 2-致凸 最佳逼近 广义中值定理 非光滑分析 |
| 文章编号： | 1009-2714(2000)01-0046-06 |
| 修稿时间： | 1999年11月30 |
PROXIMAL-SUSDIFFERENTIAL OF LOWER SEMICONTINLLOUS FUNCTIONS AND GENERALIZED MEAN VALUE THEOREMS IN THE 2-UNIFORMLY-SMOOTH AND 2-UNIFORMLY-CONVEX BANACH SPACE |
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| Wang,Feng,Hu,Chansong.PROXIMAL-SUSDIFFERENTIAL OF LOWER SEMICONTINLLOUS FUNCTIONS AND GENERALIZED MEAN VALUE THEOREMS IN THE 2-UNIFORMLY-SMOOTH AND 2-UNIFORMLY-CONVEX BANACH SPACE[J].Journal of Hubei Normal University(Natural Science),2000,20(1):46-51. |
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| Authors: | Wang Feng Hu Chansong |
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| Abstract: | This present paper show that,for general lower semicontinuous functions defined on 2 uniformly smooth and 2 uniformly convex Banach space X,the approximate mean value theorem is also valid for Proximal subdiffevential. |
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| Keywords: | Proximal subdifferential 2 uniformly smooth 2 uniformly convex Best approximation Generalized meanvalue theorem Nonsmooth analysis |
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