Lipschitz functions with maximal Clarke subdifferentials are generic
Copyright policy )Lipschitz functions with maximal Clarke subdifferentials are generic
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.
- Simon Fraser University Canada
- University of Newcastle Australia Australia
seperable Banach spaces, Lipschitz functions, Lipschitz function, Nonsmooth analysis, Clarke subdifferential, Banach lattice, Set-valued functions, Baire category, approximate subdifferential, 510, partial ordering, Baire category, Baire spaces, separable Banach spaces
seperable Banach spaces, Lipschitz functions, Lipschitz function, Nonsmooth analysis, Clarke subdifferential, Banach lattice, Set-valued functions, Baire category, approximate subdifferential, 510, partial ordering, Baire category, Baire spaces, separable Banach spaces
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