| Banach空间中渐近非扩张非自身映射带误差Noor迭代的收敛性定理 |
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| 引用本文： | 黄强联,胡燕,高双云. Banach空间中渐近非扩张非自身映射带误差Noor迭代的收敛性定理[J]. 应用数学, 2011, 24(3) |
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| 作者姓名： | 黄强联 胡燕 高双云 |
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| 作者单位： | 扬州大学数学科学学院,江苏扬州,225002 |
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| 基金项目： | Supported by the National Science Foundation of China(10971182); the Natural Science Foundation of Jiangsu Province(BK2009179,BK2010309); the Tianyuan Youth Foundation(11026115); the Natural Science Foundation of Jiangsu Education Comittee(07KJB110131,10KJB110012); the Natural Science Foundation of Yangzhou University(2009CXJ001) |
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| 摘 要： | 本文主要对三个渐近非扩张非自身映射引入了一种新的投影型Noor迭代程序,并在一致凸Banach空间中给出了该Noor迭代序列的弱与强收敛性定理.我们的主要结果推广和改进了该领域许多近期的结果.
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| 关 键 词： | 渐近非扩张非自身映射 Kadec-Klee性质 Opial条件 一致凸Banach空间 公共不动点 |
Convergence Theorems for Noor Iterations with Errors of Asymptotically Nonexpansive Nonself Mappings in Banach Spaces |
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| HUANG Qianglian , HU Yan , GAO Shuangyun. Convergence Theorems for Noor Iterations with Errors of Asymptotically Nonexpansive Nonself Mappings in Banach Spaces[J]. Mathematica Applicata, 2011, 24(3) |
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| Authors: | HUANG Qianglian HU Yan GAO Shuangyun |
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| Affiliation: | HUANG Qianglian,HU Yan,GAO Shuangyun(College of Mathematics,Yangzhou University,Yangzhou225002,China) |
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| Abstract: | In this paper,we introduce a newprojection type Noor iterative scheme for three asymptotically nonexpansive nonself mappings.Weak and strong convergence theorems are established for this new Noor iterative scheme in a uniformly convex Banach space.The results obtainedin this paper extend and improve many recent results in this area. |
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| Keywords: | Asymptotically nonexpansive nonself mapping Kadec-Klee property Opial's condition Uniformly convex Banach space Common fixed point |
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