On the Connectivity of Attractors of Iterated Multifunction Systems
Alexandru Mihail
Source: Real Anal. Exchange Volume 34, Number 1 (2008), 195-206.
Abstract
The aim of the paper is to give sufficient and necessary conditions when the attractor of an iterated multifunction system, composed by multifunctions with compact and connected values, is a connected set.
Primary Subjects: 28A80
Secondary Subjects: 54D05, 47H10, 54C60
Keywords: iterated function system ; iterated multifunction system ; connected set ; arcwise connected set ; attractor
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