- Title
- Distinct differentiable functions may share the same Clarke subdifferential at all points
- Creator
- Borwein, J. M.; Wang, Xianfu
- Relation
- Proceedings of the American Mathematical Society Vol. 125, Issue 3, p. 807-813
- Publisher Link
- http://dx.doi.org/10.1090/S0002-9939-97-03654-X
- Publisher
- American Mathematical Society (AMS)
- Resource Type
- journal article
- Date
- 1997
- Description
- We construct, using Zahorski's Theorem, two everywhere differentiable real-valued Lipschitz functions differing by more than a constant but sharing the same Clarke subdifferential and the same approximate subdifferential.
- Subject
- Lipschitz function; differentiability; integrability; generalized derivative; Clarke subdifferential; approximate continuity; metric density
- Identifier
- http://hdl.handle.net/1959.13/940493
- Identifier
- uon:13021
- Identifier
- ISSN:0002-9939
- Rights
- First published in Proceedings of the American Mathematical Society in Vol. 125, No.3, pp. 807-813, 1997, published by the American Mathematical Society.
- Language
- eng
- Full Text
- Reviewed
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| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | ATTACHMENT01 | Publisher version (open access) | 132 KB | Adobe Acrobat PDF | View Details Download |