Iterated function systems on multifunctions and inverse problems

Davide La Torre and Franklin Mendivil ()

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

Abstract: 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

Keywords: IFS operators; Set Valued Analysis; Inner Product; Multifunctions; Convex Sets (search for similar items in EconPapers)
Date: 2007-09-24
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Citations: View citations in EconPapers (5)

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