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| Strong convergence theorems for nonexpansive semi-groups in Banach spaces | |
| 作者姓名： | 张石生 杨莉 刘京爱 |
| 作者单位： | Department of Mathematics Yibin University，Yibin 644007，Sichuan Province，P.R.China，Department of Mathematics，South West University of Science and Technology，Mianyang 621002，Sichuan Province，P.R.China，Department of Mathematics，Yanbian University，Yanji 133002，Jilin Province，P.R.China |
| 摘 要： | Some strong convergence theorems of explicit composite iteration scheme for nonexpansive semi-groups in the framework of Banach spaces are established.Results presented in the paper not only extend and improve the corresponding results of Shioji- Takahashi,Suzuki,Xu and Aleyner-Reich,but also give a partially affirmative answer to the open questions raised by Suzuki and Xu. |
| 关 键 词： | 非扩张半群 不动点 巴拿赫空间 弱连续标准二元映射 强收敛定理 |
| 收稿时间： | 11 December 2006 |
| 修稿时间： | 2006-12-11 |
Strong convergence theorems for nonexpansive semi-groups in Banach spaces |
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| Zhang Shi-sheng,Yang Li,Liu Jing-ai.Strong convergence theorems for nonexpansive semi-groups in Banach spaces[J].Applied Mathematics and Mechanics(English Edition),2007,28(10):1287-1297. | |
| Authors: | Zhang Shi-sheng Yang Li Liu Jing-ai |
| Institution: | 1. Department of Mathematics, Yibin University, Yibin 644007, Sichuan Province, P. R. China 2. Department of Mathematics, South West University of Science and Technology,Mianyang 621002, Sichuan Province, P. R. China 3. Department of Mathematics, Yanbian University, Yanji 133002, Jilin Province, P. R. China |
| Abstract: | Some strong convergence theorems of explicit composite iteration scheme for nonexpansive semi-groups in the framework of Banach spaces are established.Results presented in the paper not only extend and improve the corresponding results of Shioji- Takahashi,Suzuki,Xu and Aleyner-Reich,but also give a partially affirmative answer to the open questions raised by Suzuki and Xu. |
| Keywords: | nonexpansive semi-group demi-closed principle common fixed point uniformly smooth Banach space weakly continuous normalized duality mapping |
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