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Domínguez Benavides, Tomás; López Acedo, Genaro; Xu, Hong-Kun

Random fixed points of set-valued operators. (English) Zbl 0841.47032

Proc. Am. Math. Soc. 124, No. 3, 831-838 (1996).
Summary: Some random fixed point theorems for set-valued operators are obtained. The measurability of certain marginal maps is also studied. The underlying measurable space is not assumed to be a Suslin family.

Cited in 1 Review
Cited in 21 Documents

MSC:

47H10 Fixed-point theorems
47H40 Random nonlinear operators
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
47S50 Operator theory in probabilistic metric linear spaces
60H25 Random operators and equations (aspects of stochastic analysis)

Keywords:

Hausdorff distance; measurable selection; nonexpansive operator; condensing operator; random fixed point theorems; set-valued operators; marginal maps; measurable space; Suslin family
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References:

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