Stationary states for discrete dynamical systems in the plane

Jorge Aarao, Mario Martelli

DOI: http://dx.doi.org/10.12775/TMNA.2002.022

Abstract


The existence of a fixed point for maps of the form {\it Identity} + {\it Contraction}
acting on $\mathbb R^2$ is established under quite general conditions.
A counterexample is given in $\mathbb R^3$.

Keywords


Fixed point; orientation preserving; contraction; winding number

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