A Note on an Approximate Fixed Point Theorem for Maps
arXiv:2606.15670
Abstract
We prove an approximate fixed point theorem for maps of vanishing mean oscillation from the unit ball to itself. This gives a short proof of the Open Problem 5.10 of Brezis [Rend. Lincei Mat. Appl. 34 (2023), 307--335].
8 pages. A short self-contained proof of Brezis' Open Problem 5.10. Comments are welcome!