2008•RePEc: Research Papers in EconomicsRequires access

From iterated function systems to iterated multifunction systems

Herb 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 H(H(X)), the of (nonempty) compact subsets of the 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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Key concepts: Iterated function system, Iterated function, Attractor, Mathematics, Function (biology), Space (punctuation), Discrete mathematics, Base (topology)