Distinct differentiable functions may share the same Clarke subdifferential at all points
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- by J. M. Borwein and Xianfu Wang PDF
- Proc. Amer. Math. Soc. 125 (1997), 807-813 Request permission
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 subdifferential.References
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Additional Information
- J. M. Borwein
- Affiliation: Department of Mathematics and Statistics, Simon Fraser University, Burnaby, British Columbia, Canada V5A 1S6
- Email: jborwein@cecm.sfu.ca
- Xianfu Wang
- Affiliation: Department of Mathematics and Statistics, Simon Fraser University, Burnaby, British Columbia, Canada V5A 1S6
- MR Author ID: 601305
- Email: xwang@cecm.sfu.ca
- Received by editor(s): July 13, 1995
- Received by editor(s) in revised form: September 8, 1995
- Additional Notes: The first author’s research supported by NSERC and the Shrum Endowment at Simon Fraser University.
- Communicated by: J. Marshall Ash
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 807-813
- MSC (1991): Primary 49J52; Secondary 26A27, 26A16
- DOI: https://doi.org/10.1090/S0002-9939-97-03654-X
- MathSciNet review: 1363449