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Random fixed points of multivalued maps in Fréchet spaces. (English) Zbl 1068.47075

Summary: In this paper, a general random fixed point theorem for multivalued maps in Fréchet spaces is proved. The main result is used to obtain some common random fixed point theorems. The result unifies and extends the work due to T. Dominguez Benavides, G. López Acedo and H.-K. Xu [Proc. Am. Math. Soc. 124, No. 3, 831–838 (1996; Zbl 0841.47032)].

MSC:

47H10 Fixed-point theorems
60H25 Random operators and equations (aspects of stochastic analysis)
47H40 Random nonlinear operators

Citations:

Zbl 0841.47032
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