O. Maleva

collaborators

3 papers

math.FA2025

Chain rule for pointwise Lipschitz mappings

Jan KolÃ¡Å, Olga Maleva

The classical Chain Rule formula $(f \circ g)^{'} (x; u) = f^{'} (g (x); g^{'} (x; u))$ gives the (partial, or directional) derivative of the composition of mappings $f$ and $g$ . We show how to get r…

math.FA2025

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.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…