Abstract
The existence of a fixed point for maps of the form Identity + Contraction acting on $\mathbb R^2$ is established under quite general conditions. A counterexample is given in $\mathbb R^3$.
Citation
Jorge Aarao. Mario Martelli. "Stationary states for discrete dynamical systems in the plane." Topol. Methods Nonlinear Anal. 20 (1) 15 - 23, 2002.
Information
Published: 2002
First available in Project Euclid: 2 August 2016
zbMATH: 1011.37021
MathSciNet: MR1940527
Rights: Copyright © 2002 Juliusz P. Schauder Centre for Nonlinear Studies
