J Austral Math Soc Ser A 45 pp204--216, 1988.

On Measureable Multifunctions with Stochastic Domain

Nikolaos S. Papageorgiou

(Received 8 September 1986; revised 13 May 1987)

Abstract

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 representaion theorem for Hilbert spaces.

1980 AMS Subject Classification: primary 60H25; secondary 34G05

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Authors

Nikolaos S. Papageorgiou: Department of Mathematics, University of California, Davis, California 95616, U.S.A.

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Last Modified: Wed Feb 19 10:27:49 2003