Abstract
It is shown that the set of fixed points of any $k$-uniformly lipschitzian mapping in a uniformly convex space is a retract of a domain if $k$ is close to $1$.
Citation
Ewa Sędłak. Andrzej Wiśnicki. "On the structure of fixed-point sets of uniformly lipschitzian mappings." Topol. Methods Nonlinear Anal. 30 (2) 345 - 350, 2007.
Information
Published: 2007
First available in Project Euclid: 13 May 2016
zbMATH: 1158.47038
MathSciNet: MR2387832
Rights: Copyright © 2007 Juliusz P. Schauder Centre for Nonlinear Studies