Lipschitz functions with maximal Clarke subdifferentials are generic
Jonathan Michael Borwein, Xianfu Wang · Proceedings of the American Mathematical Society · 2000
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.