Convergence rate estimate of ishikawa iterative sequence for strictly pseudocontractive mappings

被引：0

作者：

Luchuan Z. ^{[1
]}

机构：

[1] Dept. of Math, Shanghai Normal Univ, Shanghai

来源：

Applied Mathematics-A Journal of Chinese Universities | 2002年 / 17卷 / 2期

基金：

中国国家自然科学基金;

关键词：

Arbitrary banach space; Fixed points; Ishikawa iterative procedure; Lipschitzian mapping; Strictly pseudocontractive mapping;

D O I：

10.1007/s11766-002-0044-4

中图分类号：

学科分类号：

摘要：

It is shown that any fixed point of each Lipschitzian, strictly pseudocontractive mapping T on a closed convex subset K of a Banach space X may be norm approximated by Ishikawa iterative procedure. The argument in this paper provides a convergence rate estimate. Moreover the result in this paper improves, generalizes and summarizes some important and elegant recent results. © 2002, Springer Verlag. All rights reserved.

引用

页码：189 / 192

页数：3

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