Lipschitz functions with maximal Clarke subdifferentials are generic

Borwein, Jonathan; Wang, Xianfu

doi:10.1090/S0002-9939-00-05914-1

Lipschitz functions with maximal Clarke subdifferentials are generic
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by Jonathan M. Borwein and Xianfu Wang PDF

Proc. Amer. Math. Soc. 128 (2000), 3221-3229 Request permission

Abstract:

We 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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