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。
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.
出处
《湖北师范学院学报(自然科学版)》
2000年第1期46-51,共6页
Journal of Hubei Normal University(Natural Science)
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
Proximal subdifferential 2 uniformly smooth 2 uniformly convex Best approximation Generalized meanvalue theorem Nonsmooth analysis