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On common random fixed points of a new iteration with errors for nonself asymptotically quasi-nonexpansive type random mappings - MaRDI portal

On common random fixed points of a new iteration with errors for nonself asymptotically quasi-nonexpansive type random mappings (Q355554)

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scientific article; zbMATH DE number 6191071
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English
On common random fixed points of a new iteration with errors for nonself asymptotically quasi-nonexpansive type random mappings
scientific article; zbMATH DE number 6191071

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    On common random fixed points of a new iteration with errors for nonself asymptotically quasi-nonexpansive type random mappings (English)
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    25 July 2013
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    Summary: We prove some strong convergence of a new random iterative scheme with errors to common random fixed points for three and then \(N\) nonself asymptotically quasi-nonexpansive-type random mappings in a real separable Banach space. Our results extend and improve the recent results of \textit{H. Kiziltunç} [J. Nonlinear Anal. Optim. 2, No.~2, 259--267 (2011; Zbl 1413.47117)], \textit{S. Thianwan} [Thai J. Math. 6, No. 3, 27--38 (2008; Zbl 1184.47051)], \textit{W.-Q. Deng} et al. [Int. Math. Forum 7, No.~ 9--12, 407--417 (2012; Zbl 1260.47073)], \textit{X.-W. Zhou} and \textit{L. Wang} [Int. Math. Forum 2, No.~ 37--40, 1859--1868 (2007; Zbl 1152.47057)] and many others.
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    strong convergence
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    random iterative scheme with errors
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    common random fixed points
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    nonself asymptotically quasi-nonexpansive-type random mappings
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    real separable Banach space
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