Random fixed points and random differential inclusions
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.
fixed point theorems for random multifunctions
scientific article; zbMATH DE number 4076232