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Random fixed points of random multivalued operators on Polish spaces. (English) Zbl 0793.54031

The purpose of this paper is to obtain various stochastic versions of Banach type fixed point theorems for multivalued operators. One of the results is used in establishing a theorem on random approximation in a separable Banach space.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems
60H25 Random operators and equations (aspects of stochastic analysis)
54E50 Complete metric spaces
54C60 Set-valued maps in general topology
41A28 Simultaneous approximation
Full Text: DOI

References:

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