On a certain generalisation of the iterated function system

Authors

  • Filip Strobin Institute of Mathematics, Technical University of Łódź
  • JarosÅ‚aw Swaczyna Institute of Mathematics, Technical University of Łódź

Keywords:

fracrtals, IFSs, fixed points, Baire category, porosity

Abstract

We follow the idea of generalizing the notion of classical IFSs, which was presented by Mihail and Miculescu. We give their deliberations a more general setting and, using this general approach, study the generic aspect of the problem of existence of an attractor of a function system. DOI: 10.1017/S0004972712000500

Published

2012-12-17

Issue

Section

Articles