About the attractors of infinite iterated function systems


	Open access
	About the attractors of infinite iterated function systems


	Fixed Point Theory, Volume 18, No. 1, 2017, 203-212, March 1st, 2017 DOI: 10.24193/fpt-ro.2017.1.16 Authors: Dan Dumitru Abstract: The aim of this paper is to establish a sufficient condition for the attractor of an infinite iterated function system to become a dendrite. We consider the family of the associated graphs of an attractor and prove that, in some conditions, the attractor is a dendrite if all the associated graphs are infinite trees. Key Words and Phrases: Attractors, infinite iterated function systems, fixed point, dendrite, locally connected, arcwise connected. 2010 Mathematics Subject Classification: 28A80, 47H10, 54H25. Published on-line: March 1st, 2017. Abstract pdf Fulltext pdf Back to volume's table of contents