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一致凸Banach空间中渐近非扩展映象的迭代格式之新强收敛定理

周海云 高改良 陈东青

应用泛函分析学报2003,Vol.5Issue(3):234-239,6.
应用泛函分析学报2003,Vol.5Issue(3):234-239,6.

一致凸Banach空间中渐近非扩展映象的迭代格式之新强收敛定理

Some New Strong Convergence Theorems for Iterative Schemes for Asymptotically Nonexpansive Mappings in Uniformly Convex Banach Spaces

周海云 1高改良 1陈东青1

作者信息

  • 1. 石家庄机械工程学院数学系,河北,石家庄,050003
  • 折叠

摘要

Abstract

In the present paper, by virtue of new analysis technique, we have established a new strong convergence theorem for the modified Mann iteration scheme for a class of asymptotically nonexpansive mappings in uniformly convex Banach spaces. Our results improve the recent ones announced by Schu, Rhoades and others.

关键词

渐近非扩展映象/修正的Mann迭代格式/一致凸Banach空间

Key words

asymptotically nonexpansive mapping/modified Mann iteration scheme/uniformly convex Banach space

分类

数理科学

引用本文复制引用

周海云,高改良,陈东青..一致凸Banach空间中渐近非扩展映象的迭代格式之新强收敛定理[J].应用泛函分析学报,2003,5(3):234-239,6.

应用泛函分析学报

OACSCD

1009-1327

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