Strong Convergence of CQ Iteration for Asymptotically Nonexpansive Mappings
نویسندگان
چکیده
Tae-Hwa Kim and Hong-Kun Xu [Strong convergence of modified Mann iterations for asymptotically nonexpansive mappings and semigroups, Nonlinear Analysis 64(2006)1140-1152 ] proved the strong convergence theorems of modified Mann iterations for asymptotically nonexpansive mappings 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.
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