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| 可数个非扩张映射族公共不动点的收敛 | |
| 引用本文： | 周银英,曹建涛,何震.可数个非扩张映射族公共不动点的收敛[J].数学的实践与认识,2009,39(20). |
| 作者姓名： | 周银英 曹建涛 何震 |
| 作者单位： | 1. 廊坊师范学院,数信学院,河北,廊坊,065000 2. 廊坊师范学院,教育学院,河北,廊坊,065000 3. 河北大学,数计学院,河北,保定,071002 |
| 基金项目： | 廊坊师范学院科学研究一般项目 |
| 摘 要： | 利用投影算子方法提出了一种新的迭代序列,并且证明了该迭代序列在N ST-条件下收敛到可数多个非扩张映射族的公共不动点和变分不等式的解,此结果推广并改进了一些相关结论. |
| 关 键 词： | 非扩张映射 不动点 变分不等式 单调映射 |
Convergence of the Commom Fixed Points for a Countable Family of Nonexpansive Mappings |
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| ZHOU Yin-ying,CAO Jian-tao,HE Zhen.Convergence of the Commom Fixed Points for a Countable Family of Nonexpansive Mappings[J].Mathematics in Practice and Theory,2009,39(20). | |
| Authors: | ZHOU Yin-ying CAO Jian-tao HE Zhen |
| Abstract: | We introduce a new iterative process by metric projection method, and prove the convergence of the commom fixed points for a countable family of nonexpansive mappings and the set of solutions of the varitional inequality of this iterative process under the NST-condition, This results extend and impove the corresponding the conclusion. |
| Keywords: | nonexpansive mapping fixed point variational inequality monotone mapping |
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