Strong convergence theorems for a finite family of asymptotically nonexpansive mappings and semigroups (Q960209)
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scientific article; zbMATH DE number 5382872
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strong convergence theorems for a finite family of asymptotically nonexpansive mappings and semigroups |
scientific article; zbMATH DE number 5382872 |
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Strong convergence theorems for a finite family of asymptotically nonexpansive mappings and semigroups (English)
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16 December 2008
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The authors obtain strong convergence theorems for a finite family of asymptotically nonexpansive mappings and semigroups by the modified Mann method. We remark that corresponding results are obtained for nonexpansive mappings (semigroups) and asymptotically nonexpansive mappings (semigroups), respectively, in the papers [\textit{T. H. Kim} and \textit{H. K. Xu}, Nonlinear Anal., Theory Methods Appl.\ 64, No.~5 (A), 1140--1152 (2006; Zbl 1090.47059); \textit{K. Nakajo} and \textit{W. Takahashi}, J. Math.\ Anal.\ Appl.\ 279, No.~2, 372--379 (2003; Zbl 1035.47048)].
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asymptotically nonexpansive mapping
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asymptotically nonexpansive semigroup
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common fixed points
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