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From iterated function systems to iterated multifunction systems

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Author Info

  • Herb E. KUNZE

    ()

  • Davide LA TORRE

    ()

  • Edward R. VRSCAY

    ()

Abstract

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). 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) compactsubsets of the complete metric "base space" or "pixel space" (X,d) onwhich the attractors are supported. A number of examples are provided.

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Bibliographic Info

Paper provided by Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano in its series Departmental Working Papers with number 2008-39.

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Date of creation: 10 Dec 2008
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Handle: RePEc:mil:wpdepa:2008-39

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Related research

Keywords: Multifunctions; self-similarity; generalized fractal transforms; iterated function system;

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