Abstract
Iterated function systems with place-dependent probabilities are considered in this article. Assumptions ensuring the equicontinuity of iteration orbits {P n f: n ∈ ℕ} of bounded continuous functions f, where P is the dual of transition operator corresponding to an IFS, are presented. The results are applied in the study of asymptotic stability properties of these systems.
2010 Mathematics Subject Classification:
Acknowledgments
The authors thank the anonymous referee for his useful reading and comments, which improve the presentation of the article.