Distinct differentiable functions may share the same Clarke subdifferential at all points
journal contribution
posted on 2025-05-08, 14:23 authored by J. M. Borwein, Xianfu WangWe 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.
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Journal title
Proceedings of the American Mathematical SocietyVolume
125Issue
3Pagination
807-813Publisher
American Mathematical Society (AMS)Language
- en, English
College/Research Centre
Faculty of Science and Information TechnologySchool
School of Information and Physical SciencesRights statement
First published in Proceedings of the American Mathematical Society in Vol. 125, No.3, pp. 807-813, 1997, published by the American Mathematical Society.Usage metrics
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