| 来源类型 | Article |
| 规范类型 | 其他 |
| DOI | 10.1007/BF00419366 |
| Nonconvex differential calculus for infinite dimensional multifunctions. | |
| Mordukhovich BS; Shao Y | |
| 发表日期 | 1996 |
| 出处 | Set-Valued Analysis 4 (3): 205-236 |
| 出版年 | 1996 |
| 语种 | 英语 |
| 摘要 | The paper is concerned with generalized differentiation of set-valued mappings between Banach spaces. Our basic object is the so-called coderivative of multifunctions that was introduced earlier by the first author and has had a number of useful applications to nonlinear analysis, optimization, and control. This coderivative is a nonconvex-valued mapping which is related to sequential limits of Fréchet-like graphical normals but is not dual to any tangentially generated derivative of multifunctions. Using a variational approach, we develop a full calculus for the coderivative in the framework of Asplund spaces. The latter class is sufficiently broad and convenient for many important applications. Some useful calculus results are also obtained in general Banach spaces. |
| 主题 | Dynamic Systems (DYN) |
| URL | http://pure.iiasa.ac.at/id/eprint/4683/ |
| 来源智库 | International Institute for Applied Systems Analysis (Austria) |
| 引用统计 | |
| 资源类型 | 智库出版物 |
| 条目标识符 | http://119.78.100.153/handle/2XGU8XDN/127535 |
| 推荐引用方式 GB/T 7714 | Mordukhovich BS,Shao Y. Nonconvex differential calculus for infinite dimensional multifunctions.. 1996. |
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