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math.FA2025
Chain rule for pointwise Lipschitz mappings
Jan Kolář, Olga Maleva
The classical Chain Rule formula gives the (partial, or directional) derivative of the composition of mappings and . We show how to get r…
math.FA2025
Extreme non-differentiability of typical Lipschitz mappings
Michael Dymond, Olga Maleva
We show that no matter what subset of a normed space is given, a typical 1-Lipschitz mapping into a Banach space is non-differentiable at a typical point of the set in a very stron…