On the Minimal Displacement Problem of $\gamma$-Lipschitz Maps and $\gamma$-Lipschitz Retractions onto the Sphere
Martin Väth · Zeitschrift für Analysis und ihre Anwendungen · 2002
We give a general construction in arbitrary normed spaces to produce fixed-point free continuous maps with a large minimal displacement, contractions of the sphere, and retractions onto the sphere such that the corresponding maps have small measures of non-compactness.