烟台大学学报（自然科学与工程版）2017，Vol.30Issue(3)：185-190,6.DOI:10.13951/j.cnki.37-1213/n.2017.03.003
Banach空间中渐近非扩张型映象Reich-Takahashi迭代序列的收敛性
Convergence of Reich-Takahashi Iterative Sequences for AsymptoticallyNonexpansive Type Mappings in Banach Spaces
摘要
Abstract
In a real Banach space with a uniformly Gateaux differentiable norm, we study convergence of Reich-Takahashi iterative sequences for asymptotically nonexpansive type mapping and establish strong convergence theorems of Reich-Takahashi iterative sequences for asymptotically nonexpansive type mapping without any bounded assumption, and extend and improve the corresponding results in some previous studies.关键词
一致Gateaux可微性/渐近非扩张型映象/Reich-Takahashi迭代序列Key words
uniformly Gateaux differentiability/asymptotically nonexpansive type mapping/Reich-Takahashi iterative sequences分类
数理科学引用本文复制引用
林媛,张树义,李丹..Banach空间中渐近非扩张型映象Reich-Takahashi迭代序列的收敛性[J].烟台大学学报（自然科学与工程版）,2017,30(3):185-190,6.基金项目
国家自然科学基金资助项目(11371070). （11371070）
