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Random three-step iteration scheme and common random fixed point of three operators. (English) Zbl 1168.47303

Summary: We construct random iterative processes with errors for three asymptotically nonexpansive random operators and study necessary conditions for the convergence of these processes. The results presented in this paper extend and improve the recent ones announced by I.Beg and M.Abbas [J. Math.Anal.Appl.315, No.1, 181–201 (2006; Zbl 1093.47057)] and many others.

MSC:

47J25 Iterative procedures involving nonlinear operators
47H40 Random nonlinear operators
47H10 Fixed-point theorems
54H25 Fixed-point and coincidence theorems (topological aspects)

Citations:

Zbl 1093.47057
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References:

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