Zeitschrift für Analysis und ihre Anwendungen
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Published online: 2002-12-31
On the Minimal Displacement Problem of $\gamma$-Lipschitz Maps and $\gamma$-Lipschitz Retractions onto the SphereMartin Väth (1) Czech Academy of Sciences, Prague, Czech Republic
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.
Keywords: Condensing operator, measure of non-compactness, fixed point, minimal displacement, retraction
Väth Martin: On the Minimal Displacement Problem of $\gamma$-Lipschitz Maps and $\gamma$-Lipschitz Retractions onto the Sphere. Z. Anal. Anwend. 21 (2002), 901-914. doi: 10.4171/ZAA/1116