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math.FA2021
Typical Lipschitz mappings are typically non-differentiable
Michael Dymond, Olga Maleva
We prove that a typical Lipschitz mapping between any two Banach spaces is non-differentiable at typical points of any given subset of its domain in the most extreme form. This is…
math.FA2021
Porosity phenomena of non-expansive, Banach space mappings
Michael Dymond
For any non-trivial convex and bounded subset of a Banach space, we show that outside of a -porous subset of the space of non-expansive mappings , all mappings have…