English, Article, Journal or magazine article edition: Iterated function systems on multifunctions and inverse problems Davide LA TORRE; Franklin MENDIVIL

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Bookmark: http://trove.nla.gov.au/version/58892
Physical Description
  • preprint
Language
  • English

Edition details

Title
  • Iterated function systems on multifunctions and inverse problems
Author
  • Davide LA TORRE
  • Franklin MENDIVIL
Physical Description
  • preprint
Notes
  • In this paper, we first consider the problem of defining IFS operators on the space Kc of non-empty compact and convex subsets of Rd. After defining a complete metric on Kc, we construct an IFS operator and show some properties. A notable feature is the definition of a type of weak inner product on Kc. We then define a family of complete metrics on the space of all measurable set-valued functions (with values in Kc), and extend the weak inner product to this space. Following this, we construct IFS operators on these spaces.We close with a brief discussion of the inverse problem of approximating an arbitrary multifunction by the attractor of an IFS
  • IFS operators, Set Valued Analysis, Inner Product, Multifunctions, Convex Sets
  • RePEc:mil:wpdepa:2007-32
Language
  • English
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