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Approximating continuous functions by iterated function system and optimization

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  • Davide La Torre
  • Matteo Rocca

Abstract

In this paper some new contractive operators on C([a, b]) of IFS type arebuilt. Inverse problems are introduced and studied by convex optimizationproblems. A stability result and some optimality conditions are given.

Suggested Citation

  • Davide La Torre & Matteo Rocca, 2002. "Approximating continuous functions by iterated function system and optimization," Departmental Working Papers 2002-11, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
    • Handle: RePEc:mil:wpdepa:2002-11
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    File URL: http://wp.demm.unimi.it/files/wp/2002/DEMM-2002_011wp.pdf
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    References listed on IDEAS

    as
    1. Kwiecinska, Anna A. & Slomczynski, Wojciech, 2000. "Random dynamical systems arising from iterated function systems with place-dependent probabilities," Statistics & Probability Letters, Elsevier, vol. 50(4), pages 401-407, December.
    2. L. Montrucchio & F. Privileggi, 1999. "Fractal steady states instochastic optimal control models," Annals of Operations Research, Springer, vol. 88(0), pages 183-197, January.
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    Keywords

    Iterated function systems; optimization;

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