# Random fixed point equations and inverse problems by collage theorem

## Author Info

• Davide La Torre

(University of Milan)

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

## Abstract

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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## Bibliographic Info

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

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 Length: Date of creation: 23 Jun 2006 Date of revision: Handle: RePEc:bep:unimip:unimi-1030 Note: oai:cdlib1:unimi-1030 Contact details of provider: Postal: Via Conservatorio 7 - 20122 MilanoPhone: +39 02 503 16486Fax: +39 02 503 16475Web page: http://services.bepress.com/unimiMore information through EDIRC

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