Weak and strong convergence theorems for nonexpansive mappings in Banach spaces

被引：11

作者：

Suzuki, T ^{[1
]}

Takahashi, W

机构：

[1] Niigata Univ, Grad Sch Sci & Technol, Dept Math & Informat Sci, Niigata 9502181, Japan

[2] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Tokyo 1528552, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 47卷 / 04期

关键词：

fixed point; nonexpansive mappings; nonlinear ergodic theorem; strictly convex Banach space;

D O I：

10.1016/S0362-546X(01)00399-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The iterative methods of Mann's type for approximation of fixed points was discussed. In particular, strong convergence theorems of Mann's type on strictly convex Banach spaces or general Banach spaces were stated. Nonlinear ergodic theorems of Baillon's type for nonexpansive mappings were also discussed.

引用

页码：2805 / 2815

页数：11

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