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arXiv · 2212.06690

Extending Rademacher Theorem to Set-Valued Maps

Aris Daniilidis·Marc Quincampoix
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Abstract

Rademacher theorem asserts that Lipschitz continuous functions between Euclidean spaces are differentiable almost everywhere. In this work we extend this result to set-valued maps using an adequate notion of set-valued differentiability relating to convex processes. Our approach uses Rademacher theorem but also recovers it as a special case.

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BibTeXRIS

Aris Daniilidis, Marc Quincampoix. 2022-12-13. Extending Rademacher Theorem to Set-Valued Maps. https://arxiv.org/abs/2212.06690

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