# Random fixed point equations and inverse problems by collage theorem

Davide La Torre (), Herb Kunze and Edward Vrscay

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.

Keywords: Random fixed point equations; collage theorem (search for similar items in EconPapers)
Date: 2006-06-23
Note: oai:cdlib1:unimi-1030
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