English, Article, Journal or magazine article edition: From iterated function systems to iterated multifunction systems Herb E. KUNZE; Davide LA TORRE; Edward R. VRSCAY

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Bookmark: http://trove.nla.gov.au/version/58354
Physical Description
  • preprint
Language
  • English

Edition details

Title
  • From iterated function systems to iterated multifunction systems
Author
  • Herb E. KUNZE
  • Davide LA TORRE
  • Edward R. VRSCAY
Physical Description
  • preprint
Notes
  • 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.
  • Multifunctions, self-similarity, generalized fractal transforms, iterated function system
  • RePEc:mil:wpdepa:2008-39
Language
  • English
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