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Applications of Fixed Point Theorems in the Theory of Generalized IFS
Fixed Point Theory and Applications volume 2008, Article number: 312876 (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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Mihail, A., Miculescu, R. Applications of Fixed Point Theorems in the Theory of Generalized IFS. Fixed Point Theory Appl 2008, 312876 (2008). https://doi.org/10.1155/2008/312876
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