Φ-伪压缩型映象的具误差的Ishikawa和Mann迭代程序的收敛性问题

张石生

Φ-伪压缩型映象的具误差的Ishikawa和Mann迭代程序的收敛性问题

张石生

四川大学数学系, 成都 610064

基金项目: 国家自然科学基金资助课题(19971058)

详细信息

作者简介:
张石生(1934~ ),男,教授,已发表论文290余篇,获省部级奖6项.

中图分类号: O177.91
计量
- 文章访问数: 1954
- HTML全文浏览量: 81
- PDF下载量: 772
- 被引次数: 0
出版历程
- 收稿日期: 1998-08-07
- 修回日期: 1999-06-09
- 刊出日期: 2000-01-15

On the Convergence Problems of Ishikawa and Mann Iterative Processes With Error for Φ-Pseudo Contractive Type Mappings

Zhang Shisheng

Department of Mathematics, Sichuan University, Chengdu 610064, P R China

摘要

摘要: 引入Φ-伪压缩型映象的概念,并研究了此类映象的具误差的Ishikawa和Mann迭代程序的收敛性问题.本文结果改进和发展了许多人的最新结果.
- Φ-伪压缩型映象 /
- 增生映象 /
- 伪压缩映象 /
- Φ-强增生映象 /
- Φ-半压缩映象 /
- 具误差的Ishikawa迭代程序 /
- 具误差的Mann迭代程序
Abstract: The purpose of this paper is to introduce the concept of Φ-pseudo contractive type mapping and to study the convergence problem of Ishikawa and Mann iterative processes with error for this kind of mappings.The results presented in this paper improve and extend many authors' recent results.
- Φ-pseudo contractive type mapping /
- accretive mapping /
- pseudo-contractive mapping /
- Φ-strongly accretive mapping /
- Φ-hemi-contractive mapping /
- Ishikawa iterative processes with error /
- Mann iterative process with error

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参考文献(24)

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