Strong convergence of modified Ishikawa iterations for nonexpansive mappings in Banach space (Q2848857)

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scientific article; zbMATH DE number 6212282
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Strong convergence of modified Ishikawa iterations for nonexpansive mappings in Banach space
scientific article; zbMATH DE number 6212282

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    26 September 2013
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    fixed point
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    nonexpansive mapping
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    strong convergence
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    Banach space
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    Strong convergence of modified Ishikawa iterations for nonexpansive mappings in Banach space (English)
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    The authors have introduced a more general iteration scheme for a family of nonexpansive maps to prove strong convergence theorems in uniformly smooth Banach spaces. Their results improve those in the literature, especially those of \textit{S. Plubtieng} and \textit{R. Wangkeeree} [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 9, A, 3110--3118 (2009; Zbl 1203.47072)] and of \textit{Q.-B. Zhang} [Math. Comput. Modelling 49, No. 5--6, 1173--1179 (2009; Zbl 1165.65356)].
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