JournalszaaVol. 21, No. 4pp. 901–914

On the Minimal Displacement Problem of γ\gamma-Lipschitz Maps and γ\gamma-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\gamma-Lipschitz Maps and γ\gamma-Lipschitz Retractions onto the Sphere. Z. Anal. Anwend. 21 (2002), no. 4, pp. 901–914

DOI 10.4171/ZAA/1116