International Journal of Mathematics and Mathematical Sciences
Volume 11 (1988), Issue 3, Pages 551-559
doi:10.1155/S0161171288000663

Random fixed points and random differential inclusions

Abstract

In this paper, first, we study random best approximations to random sets, using fixed point techniques, obtaining this way stochastic analogues of earlier deterministic results by Browder-Petryshyn, KyFan and Reich. Then we prove two fixed point theorems for random multifunctions with stochastic domain that satisfy certain tangential conditions. Finally we consider a random differential inclusion with upper semicontinuous orientor field and establish the existence of random solutions.