Applications of Fixed Point Theorems in the Theory of Generalized IFS
© A. Mihail and R. Miculescu. 2008
Received: 9 February 2008
Accepted: 22 May 2008
Published: 27 May 2008
We introduce the notion of a generalized iterated function system (GIFS), which is a finite family of functions , where is a metric space and . In case that is a compact metric space and the functions are contractions, using some fixed point theorems for contractions from to , we prove the existence of the attractor of such a GIFS and its continuous dependence in the 's.
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