A note on directional Lipschitz continuity in the Euclidean plane
David Hru\v{s}ka
TL;DR
This paper strengthens a conjecture relating Lipschitz continuity and differentiability in the Euclidean plane, providing improved results and clarifying the connections between these mathematical properties.
Contribution
It proves a stronger version of a 2017 conjecture and offers an improved main result regarding Lipschitz properties and differentiability in the Euclidean plane.
Findings
Established a stronger version of the 2017 conjecture
Provided an improved main theorem on Lipschitz and differentiability relations
Clarified the connection between Lipschitz continuity and differentiability
Abstract
We prove a stronger version of a conjecture stated in a paper from 2017 by J. M. Ash and S. Catoiu concerning relations between various notions of the Lipschitz property and differentiability in the Euclidean plane. We also provide an improved version of the main result of that paper.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.