刊名:Journal of Mathematical Analysis and Applications
出版年:2003
出版时间:July 1, 2003
年:2003
卷:283
期:1
页码:180-191
全文大小:127 K
文摘
We establish approximate Rolle's theorems for the proximal subgradient and for the generalized gradient. We also show that an exact Rolle's theorem for the generalized gradient is completely false in all infinite-dimensional Banach spaces (even when they do not possess smooth bump functions).