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Banach空间中渐近非扩张映射的广义粘性隐式双中点法则 被引量：2

The Generalized Viscosity Implicit Double Midpoint Rule for Asymptotically Non-expansive Mappings in Banach Spaces
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摘要 本文给出了实Banach空间中,渐近非扩张映射不动点的广义隐式双中点法则的粘性方法.在适当的参数条件下,证明了该算法生成的序列的强收敛定理.本文的结果推广和改进了其他作者的主要结果. We study viscosity method for the general implicit double midpoint rule for finding the fixed points of asymptotically non-expansive mappings in real Banach spaces.Under suitable conditions imposed on the parameters,some strong convergence theorems of the sequence generated by the algorithm are proved.The results presented in this article extend and improve the main results of other authors.
作者 王元恒 李参参 Yuan Heng WANG;Can Can LI(College of Mathematics and Computer Science,Zhejiang Normal University,Jinhua 321004,P.R.China)
机构地区 浙江师范大学数学与计算机科学学院
出处 《数学学报（中文版）》 CSCD 北大核心 2021年第4期601-612,共12页 Acta Mathematica Sinica：Chinese Series
基金 国家自然科学基金资助项目(11671365) 浙江省自然科学基金资助项目(Y6100696)。
关键词 BANACH空间 渐近非扩张映射 广义粘性隐式双中点法则 强收敛 Banach space asymptotically non-expansive mapping generalized viscosity implicit double midpoint rule strong convergence
分类号 O177.91 [理学—基础数学]
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数学学报（中文版）
2021年 第4期

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