Journal of Applied Mathematics and Stochastic Analysis 
Volume 6 (1993), Issue 3, Pages 217-235
doi:10.1155/S1048953393000188

Properties of solution set of stochastic inclusions

Michał Kisielewicz

Institute of Mathematics, Higher College of Engineering, Podgórna 50, Zielona Góra 65-246, Poland

Received 1 April 1993; Revised 1 July 1993

Abstract

The properties of the solution set of stochastic inclusions xtxsclL2(stFτ(xτ)dτ+stGτ(xτ)dωτ+stnHτ,z(xτ)ν˜(dτ,dz)) are investigated. They are equivalent to properties of fixed points sets of appropriately defined set-valued mappings.