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Random fixed point equations and inverse problems by collage theorem

  • Davide La Torre

    (University of Milan)

  • Herb Kunze
  • Edward Vrscay
Registered author(s):

    In this paper we are interested in the direct and inverse problems for the following class of random fixed point equations $T(w,x(w))=x(w)$ where $T:\Omega\times X\to X$ is a given operator, $\Omega$ is a probability space and $X$ is a complete metric space. The inverse problem is solved by recourse to the collage theorem for contractive maps. We then consider two applications: (i) random integral equations and (ii) random iterated function systems with greyscale maps (RIFSM), for which noise is added to the classical IFSM.

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    Paper provided by Universit√° degli Studi di Milano in its series UNIMI - Research Papers in Economics, Business, and Statistics with number unimi-1030.

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    Date of creation: 23 Jun 2006
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    Handle: RePEc:bep:unimip:unimi-1030
    Note: oai:cdlib1:unimi-1030
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