From iterated function systems to iterated multifunction systems

Herb E. Kunze (), Davide La Torre and Edward R. Vrscay ()

Departmental Working Papers from Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano

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.

Keywords: Multifunctions; self-similarity; generalized fractal transforms; iterated function system (search for similar items in EconPapers)
Date: 2008-12-10
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Citations: View citations in EconPapers (9)

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