From iterated function systems to iterated multifunction systems
From iterated function systems to iterated multifunction systems
Starting from the original definitions of Iterated Function Systems (IFS) and Iterated Function Systems with Probabilities (IFSP) we introduce the notions of Iterated Multifunction Systems (IMS) and Iterated Multifunction Systems with Probabilities (IMSP). The notion of IMS has been introduced by the same authors in a previous paper and this work represents an extension of it. We consider the IMS and IMSP as operators on the space H(H(X)), the space of (nonempty) compact subsets of the space H(X) of (nonempty) compact subsets of the complete metric "base space" or "pixel space" (X,d) on which the attractors are supported. A number of examples are provided
- University of Milan Italy
Contractive multifunctions; Iterated function systems; Iterated function systems with probabilities; Iterated multifunction systems; Iterated multifunction systems with probabilities
Contractive multifunctions; Iterated function systems; Iterated function systems with probabilities; Iterated multifunction systems; Iterated multifunction systems with probabilities
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