渐近半伪压缩映射的收敛性定理及其应用(英文)

Convergence Theorems for Asymptotically Hemi-pseudocontractive Mappings with an Application

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摘要本文在一致凸的Banach空间中研究一致L-Lipshitzian渐近半伪压缩映射的带平均误差的三步迭代序列.应用新的方法,得到一致L-Lipshitzian渐近半伪压缩映射的一些强收敛的充分必要条件,改进和推广了文[4]中相应的结果. In this paper,a three step iterative sequence with mean errors for uniformly L-Lipshitzian asymptotically hemi-pseudocontractive mappings is introduced in a uniformly convex Banach space and some sufficient and necessary conditions on the strong convergence of the above iterative scheme are obtained.The corresponding results in[4]are extend by a new method.

作者刘涌泉郭伟平

机构地区苏州科技学院数理学院

出处《应用数学》 CSCD 北大核心 2014年第3期546-555,共10页 Mathematica Applicata

基金 Supported by the National Natural Science Foundation of China(11271282)

关键词一致L-Lipshitzian映射渐近伪压缩映射渐近半伪压缩映射强收敛 BANACH空间 Uniformly L-Lipshitzian mapping Asymptotically pseudocontractive mapping Asymptotically hemi-pseudocontractive mapping Strong convergence Banach space

分类号 O177.91 [理学—基础数学]

作者简介 LIU Yongquan,male, Han,Jiangxi,major in functional analysis.

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1郭筱,许正川,邓磊.李普希兹渐近伪压缩映射及半群的迭代算法(英文)[J].西南大学学报（自然科学版）,2011,33(12):121-125.
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渐近半伪压缩映射的收敛性定理及其应用(英文)

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