| 来源类型 | Article
|
| 规范类型 | 其他
|
| Nonsmooth sequential analysis in Asplund spaces. |
| Mordukhovich BS; Shao Y
|
| 发表日期 | 1996
|
| 出处 | Transcripts of the American Mathematical Society 348 (4): 1235-1280.
|
| 出版年 | 1996
|
| 语种 | 英语
|
| 摘要 | We develop a generalized differentiation theory for nonsmooth functions and sets with nonsmooth boundaries defined in Asplund spaces. This broad subclass of Banach spaces provides a convenient framework for many important applications to optimization, sensitivity, variational inequalities, etc. Our basic normal and subdifferential constructions are related to sequential weak-star limits of Frechet normals and subdifferentials. Using a variational approach, we establish a rich calculus for these nonconvex limiting objects which turn out to be minimal among other set-valued di erential constructions with natural properties. The results obtained provide new developments in infinite dimensional nonsmooth analysis and have useful applications to optimization and the geometry of Banach spaces. |
| 主题 | Dynamic Systems (DYN)
|
| URL | http://pure.iiasa.ac.at/id/eprint/4684/
|
| 来源智库 | International Institute for Applied Systems Analysis (Austria)
|
| 资源类型 | 智库出版物
|
| 条目标识符 | http://119.78.100.153/handle/2XGU8XDN/127536
|
推荐引用方式
GB/T 7714 |
Mordukhovich BS,Shao Y. Nonsmooth sequential analysis in Asplund spaces.. 1996.
|
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。
