Random fixed points and random differential inclusions (Q1111242)

Using the fixed point method the author studies random best approximations to random sets. The stochastic analogues of deterministic results of \textit{F. Browder} and \textit{W. Petryshyn} [J. Math. Anal. Appl. 20, 197-228 (1967; Zbl 0153.457)], \textit{K. Fan} [Math. Z. 112, 234-240 (1969; Zbl 0185.395)] and \textit{S. Reich} [J. Math. Anal. Appl. 62, 104- 113 (1978; Zbl 0375.47031)] are obtained. Two fixed point theorems for random multifunctions with stochastic domain are proved and some existence results for random differential inclusions are given.