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- W98933075 abstract "Tae-Hwa Kim and Hong-Kun Xu (Strong convergence of mod- ified Mann iterations for asymptotically nonexpansive mappings and semi- groups, Nonlinear Analysis 64(2006)1140-1152 ) proved the strong convergence theorems of modified Mann iterations for asymptotically nonexpansive map- pings and semigroups on bounded subset C of a Hilbert space by the CQ iteration method. The purpose of this paper is to modify the CQ iteration scheme of Tae-Hwa Kim and Hong-Kun Xu, and to prove strong convergence theorems for asymptotically nonexpansive mappings on subset C of a Hilbert space without the condition of boundedness of subset C. The convergence rate of iteration process presented in this paper is faster than the iteration process of Tae-Hwa Kim and Hong-Kun Xu. In this article, the interesting method of proof is used which without use the demi-closedness principle." @default.
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- W98933075 date "2007-01-01" @default.
- W98933075 modified "2023-09-27" @default.
- W98933075 title "Strong Convergence of CQ Iteration for Asymptotically Nonexpansive Mappings" @default.
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