构造<em>m</em>-增生算子方程解的Ishikawa迭代程序

曾六川

构造m-增生算子方程解的Ishikawa迭代程序

曾六川

上海师范大学, 数学系, 上海, 200234

基金项目: 国家自然科学基金资助项目(19801023);高等学校优秀青年教师教学;科研奖励基金资助项目

详细信息

作者简介:
曾六川(1965- ),男,湖南人,教授.

中图分类号: O177.91
计量
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- 被引次数: 0
出版历程
- 收稿日期: 2000-07-11
- 修回日期: 2001-12-31
- 刊出日期: 2002-06-15

Ishikawa Iterative Process for Constructing Solutions of m-Accretive Operator Equations

ZENG Liu-chuan

Department of Mathematics, Shanghai Normal University, Shanghai 200234, P R China

摘要

摘要: 设X是一致光滑Banach空间,T:D(T)⊂X→X是具闭的定义域D(T)的m-增生算子。不经假设值域R(T)有界与对[0,1]中序列{β_n}作任何限制,就表征了用于构造m-增生算子方程x+Tx=f的解的具误差的Ishikawa迭代序列的收敛性。而且,若T还是局部Lipschitz算子,则给出了m-增生算子方程x+Tx=f的逼近解的误差估计。
- m-增生算子 /
- Ishikawa迭代序列 /
- 一致光滑Banach空间
Abstract: The convergence of the Ishikawa iteration sequences with errors for constructing solutions of m-accretive operator equations is characterized.Moreover,the error estimates of approximate solutions for locally Lipschitzian and m-accretive operator equations are established.
- m-accretive operator /
- Ishikawa iterative sequence /
- uniformly smooth Banach space

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参考文献(17)

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