| 无限族非扩张映象及非扩张半群的强收敛定理 |
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| 引用本文： | 雷贤才.无限族非扩张映象及非扩张半群的强收敛定理[J].数学的实践与认识,2014(3). |
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| 作者姓名： | 雷贤才 |
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| 作者单位： | 宜宾学院数学研究所; |
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| 基金项目： | 高等学校重点科研项目(2012S19) |
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| 摘 要： | 目的是研究Banach空间中无限族非扩张映象和非扩张半群的强收敛问题.为此提出一个改进的迭代序列,在适当条件下,某些强收敛定理被证明.结果改进和推广了一些人的最新结果.
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| 关 键 词： | 非扩张半群 半闭原理 Sunny非扩张保核收缩 公共不动点 最近点投影 |
Strong Convergence Theorems for a Faimly of Infinite Nonexpansive Mappings and Nonexpansive Semigroups |
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| Abstract: | The purpose of this paper is to study the strong convergence problem for a family of infinite nonexpansive mappings and nonexpansive seimgroups in Banach spaces.An improved iterative sequence is put forward,under suitable conditions some strong convergence theorems for a family of infinite nonexpansive mappings and nonexpansive semigroups in Banach spaces are proved.The results presented in the paper extend and improve the corresponding results. |
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| Keywords: | nonexpansive semigroup semi-closed principle sunny nonexpansive retraction common fixed point nearest point projection common fixed point |
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