Sehgal, V. M.; Singh, S. P. On random approximations and a random fixed point theorem for set valued mappings. (English) Zbl 0607.47057 Proc. Am. Math. Soc. 95, 91-94 (1985). A random fixed point result for set-valued mappings with compact convex values is stated and proved. The obtained theorem is shown to contain a previous one due to A. T. Bharucha-Reid and A. Mukherjea [Bull. Am. Math. Soc. 82, 641-657 (1976; Zbl 0339.60061)]. Reviewer: M.Turinici Cited in 4 ReviewsCited in 34 Documents MSC: 47H10 Fixed-point theorems 54H25 Fixed-point and coincidence theorems (topological aspects) 60H25 Random operators and equations (aspects of stochastic analysis) Keywords:selection; random fixed point result for set-valued mappings with compact convex values Citations:Zbl 0339.60061 × Cite Format Result Cite Review PDF Full Text: DOI References: [1] A. T. Bharucha-Reid, Fixed point theorems in probabilistic analysis, Bull. Amer. Math. Soc. 82 (1976), no. 5, 641 – 657. · Zbl 0339.60061 [2] C. J. Himmelberg, Measurable relations, Fund. Math. 87 (1975), 53 – 72. · Zbl 0296.28003 [3] Shigeru Itoh, Random fixed-point theorems with an application to random differential equations in Banach spaces, J. Math. Anal. Appl. 67 (1979), no. 2, 261 – 273. · Zbl 0407.60069 · doi:10.1016/0022-247X(79)90023-4 [4] K. Kuratowski and C. Ryll-Nardzewski, A general theorem on selectors, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 13 (1965), 397 – 403 (English, with Russian summary). · Zbl 0152.21403 [5] Simeon Reich, Fixed points in locally convex spaces, Math. Z. 125 (1972), 17 – 31. · Zbl 0216.17302 · doi:10.1007/BF01111112 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.