ITERATIVE APPROXIMATION OF FIXED POINTS OF (ASYMPTOTICALLY) NONEXPANSIVE MAPPINGS

被引：0

作者：

Zeng LuchuanDept. of Math.

机构：

来源：

Applied Mathematics:A Journal of Chinese Universities | 2001年 / 04期

关键词：

Fixed point; (asymptotically)nonexpansive mapping; modified Ishikawa iteration process; Frechet differentiable norm; Opial condition;

D O I：

暂无

中图分类号：

O177.2 [巴拿赫空间及其线性算子理论];

学科分类号：

070104 ;

摘要：

Let E be a uniformly convex Banach space which satisfies Opial’s condition or has a Frechet differentiable norm,and C be a bounded closed convex subset of E. If T∶C→C is (asymptotically)nonexpansive,then the modified Ishikawa iteration process defined byx n+1 =t nT ns nT nx n+1-s nx n+(1-t n)x n,converges weakly to a fixed point of T ,where {t n} and {s n} are sequences in [0,1] with some restrictions.

引用

页码：402 / 408

页数：7

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