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Mordukhovich, B.S. & Shao, Y. (1996). Nonsmooth sequential analysis in Asplund spaces. Transcripts of the American Mathematical Society 348 (4) 1235-1280.
Full text not available from this repository.Abstract
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.
| Item Type: | Article |
|---|---|
| Research Programs: | Dynamic Systems (DYN) |
| Depositing User: | IIASA Import |
| Date Deposited: | 15 Jan 2016 02:06 |
| Last Modified: | 27 Aug 2021 17:36 |
| URI: | https://pure.iiasa.ac.at/4684 |
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