Lipschitz functions with maximal Clarke subdifferentials are generic
journal contribution
posted on 2025-05-10, 08:17 authored by Jonathan M. Borwein, Xianfu WangWe show that on a separable Banach space most Lipschitz functions have maximal Clarke subdifferential mappings. In particular, the generic nonexpansive function has the dual unit ball as its Clarke subdifferential at every point. Diverse corollaries are given.
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Journal title
Proceedings of the American Mathematical SocietyVolume
128Pagination
3221-3229Publisher
American Mathematical Society (AMS)Language
- en, English
College/Research Centre
Faculty of Science and Information TechnologySchool
School of Mathematical and Physical SciencesRights statement
First published in Proceedings of the American Mathematical Society in Vol. 128, No. 11, pp. 3221-3229, 2000, published by the American Mathematical Society.Usage metrics
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