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On measurable multifunctions with stochastic domain

Part of: Stochastic analysis

Published online by Cambridge University Press:  09 April 2009

Nikolaos S. Papageorgiou
Nikolaos S. Papageorgiou
Affiliation:
Department of Mathematics, University of CaliforniaDavis, California 95616, U.S.A.
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Abstract

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In this paper we prove several random fixed point theorems for multifunctions with a stochastic domain. Then those techniques are used to establish the existence of solutions for random differential inclusions. A useful tool in this process is a stochastic version of the Tietze extension theorems that we prove. Finally we present a stochastic version of the Riesz representation theorem for Hilbert spaces.

MSC classification

Secondary: 60H25: Random operators and equations
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 45 , Issue 2 , October 1988 , pp. 204 - 216
Copyright
Copyright © Australian Mathematical Society 1988

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