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拟φ—非扩张映像族的公共不动点的强收敛定理 被引量:1

Strong Convergence Theorems of Common Fixed Points for a Family of Quasi φ—Nonexpansive Mappings
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摘要 在自反的严格凸的光滑Banach空间中给出了一种关于拟φ-非扩张映像族的公共不动点的新混杂算法,并利用广义投影算子和K-K性质等技巧证明了该算法的强收敛性.所得结果是近期相关结果的改进与推广. The purpose of this article is to propose a new hybrid projection algorithm and prove a strong convergence theorem for a family of quasi C-asymptotically nonexpansive mappings by using new analysis techniques. Its results hold in reflexive, strictly convex, smooth Banach spaces with K-K property. The results of this paper improve and extend recent some relative results.
出处 《数学的实践与认识》 CSCD 北大核心 2011年第20期233-239,共7页 Mathematics in Practice and Theory
基金 陕西省教育厅科研计划项目(11JK0486)
关键词 拟φ-非扩张映像族 混杂算法 K—K性质 强收敛定理 A family of quasi φ-nonexpansive mapping Hybrid algorithm K-K propertyStrong convergence theorems
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参考文献7

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二级参考文献9

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共引文献6

同被引文献9

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  • 8唐艳,闻道君.非扩张映射不动点的粘性逼近方法[J].重庆工商大学学报(自然科学版),2009,26(5):420-423. 被引量:2
  • 9王帮容,闻道君.非扩张映射粘性逼近的强收敛性[J].数学的实践与认识,2011,41(12):216-221. 被引量:2

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