Daniilidis, A., & Quincampoix, M. (2024). Extending the Rademacher Theorem to Set-Valued Maps. SIAM Journal on Optimization, 34(2), 1784–1798. https://doi.org/10.1137/22M1538831
The 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 the Rademacher theorem but also recovers it as a special case.
en
Project title:
Unilateralität und Asymmetrie in der Variationsanalyse: P 36344N (FWF - Österr. Wissenschaftsfonds)
