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p一致凸Banach空间中渐近半压缩映象迭代过程的强收敛性

The Strong Convergence of the Iteration Processes for Asymptotically Hemicontractive Mappings in p-uniformly Convex Banach Spaces
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摘要 研究p一致凸Banach空间中渐近半压缩映象的修正的Mann迭代过程和修正的Ishikawa迭代过程的强收敛性.本文始终假设X是p一致凸Banach空间.最近,r-渐近半压缩映象的概念被引入,并给出了X中该映象(此时,r=p)的修正的Mann迭代过程和修正的Ishikawa迭代过程的强收敛性定理,文章所得结果改进、推广和统一了近期相关结果. The purpose of this paper is to study the strong convergence of the modified Mann and Ishikawa iteration processes for asymptotically hemicontractive mappings in p-uniformly convex Banach spaces, our results improve and extend the results of Hu Changsong's.
出处 《应用泛函分析学报》 CSCD 2005年第4期349-353,共5页 Acta Analysis Functionalis Applicata
基金 2003年校青年基金(2003Q19)
关键词 一致凸BANACH空间 r-渐近半压缩映象 修正的Mann迭代 修正的Ishikawa迭代 p-uniformly convex Banach spaces r- asymptotically hemicontractive mappings the modified Mann and Ishikawa iteration processes
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参考文献7

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二级参考文献5

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