Papageorgiou, Nikolaos S. Random fixed point theorems for measurable multifunctions in Banach spaces. (English) Zbl 0606.60058 Proc. Am. Math. Soc. 97, 507-514 (1986). The author gives some random fixed point theorems for set-valued random operators in Banach spaces. In the proofs he uses e.g. the methods of convex analysis and Carathéodory type selectors. Reviewer’s remarks: Theorem 4 holds only in finite-dimensional spaces. In Theorem 6 some necessary assumptions are omitted. Most results of the paper can be considerably improved. 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