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.
Cite this article
Martin Väth, On the Minimal Displacement Problem of -Lipschitz Maps and -Lipschitz Retractions onto the Sphere. Z. Anal. Anwend. 21 (2002), no. 4, pp. 901–914DOI 10.4171/ZAA/1116