DISTINCT DIFFERENTIABLE FUNCTIONS MAY SHARE THE SAME CLARKE SUBDIFFERENTIAL AT ALL POINTS

Authors
BORWEIN JM WANG XF
Citation
Jm. Borwein et Xf. Wang, DISTINCT DIFFERENTIABLE FUNCTIONS MAY SHARE THE SAME CLARKE SUBDIFFERENTIAL AT ALL POINTS, Proceedings of the American Mathematical Society, 125(3), 1997, pp. 807-813
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
125
Issue
3
Year of publication
1997
Pages
807 - 813
Database
ISI
SICI code
0002-9939(1997)125:3<807:DDFMST>2.0.ZU;2-8
Abstract
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 subdi fferential.