Abstract
In this paper, we show that some results about Hutchinson-Barnsley theory fbr finite iterated functions systems may be carriedover to the infinite case. In fact, we show that, if {f:i e ! } is a familyof Matkowski $-contractions on a complete metric space X such thatthe sequence ,., is bounded for some x6 in X, then there existsa non-empty bounded and separable invariant set with respcct to thisfamily.
The article was added to IASJ on 2012-08-08
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