Title of article :
Alternative characterization of hyperbolic affine infinite iterated function systems
Author/Authors :
Miculescu، نويسنده , , Radu and Mihail، نويسنده , , Alexandru، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2013
Abstract :
In this paper we present a characterization of hyperbolic affine infinite iterated function systems defined on an arbitrary normed space. Our result is a generalization of Theorem 1.1 from the paper “A characterization of hyperbolic affine iterated function systems”, Topology Proceedings, 36 (2010), 189–211, by R. Atkins, M. Barnsley, A. Vince and D. Wilson. Some examples are presented.
Keywords :
Affine infinite iterated function system , Comparison function , Attractor of an affine infinite iterated function system , ? -hyperbolic affine infinite iterated function system , Uniformly point-fibre affine infinite iterated function system , Convex body , Strictly topologically contractive affine infinite iterated function system
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications
