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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(英文)

Convergence Theorems for Noor Iterations with Errors of Asymptotically Nonexpansive Nonself Mappings in Banach Spaces
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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. In this paper, we introduce a new projection 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 obtained in this paper extend and improve many recent results in this area.
作者 黄强联 胡燕 高双云
机构地区 扬州大学数学科学学院
出处 《应用数学》 CSCD 北大核心 2011年第3期540-547,共8页 Mathematica Applicata
基金 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)
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 Asymptotically nonexpansive nonsetf mapping Kadec-Klee property Opial＇s condition Uniformly convex Banach space,Common fixed point
分类号 O177.91 [理学—基础数学]
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参考文献14

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应用数学
2011年 第3期

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