On the Minimal Displacement Problem of $\gamma$-Lipschitz Maps and $\gamma$-Lipschitz Retractions onto the Sphere

Martin Väth

doi:10.4171/zaa/1116

On the Minimal Displacement Problem of $γ$ -Lipschitz Maps and $γ$ -Lipschitz Retractions onto the Sphere

Martin Väth
Czech Academy of Sciences, Prague, Czech Republic

$On the Minimal Displacement Problem of $\gamma$-Lipschitz Maps and $\gamma$-Lipschitz Retractions onto the Sphere cover$

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Abstract

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 $γ$ -Lipschitz Maps and $γ$ -Lipschitz Retractions onto the Sphere. Z. Anal. Anwend. 21 (2002), no. 4, pp. 901–914

DOI 10.4171/ZAA/1116