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Random fixed points of set-valued operators |
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| Authors: | Tomá s Domí nguez Benavides Genaro Ló pez Acedo Hong-Kun Xu |
| Affiliation: | Departmento de Análisis Matemático, Facultad de Matemáticas, Universidad de Sevilla, Apdo. 1160, 41080-Sevilla, Spain Genaro López Acedo ; Departmento de Análisis Matemático, Facultad de Matemáticas, Universidad de Sevilla, Apdo. 1160, 41080-Sevilla, Spain ; Institute of Applied Mathematics, East China University of Science and Technology, Shanghai 200237, China |
| Abstract: | 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. |
| Keywords: | Random fixed point set-valued operator measurable space Hausdorff distance measurable selection nonexpansive operator condensing operator marginal map |
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