关于Banach空间中增生和伪压缩型映象迭代序列的收敛性问题

张石生

关于Banach空间中增生和伪压缩型映象迭代序列的收敛性问题

张石生

四川大学, 数学系, 成都, 610064

详细信息

作者简介:
张石生(1934- ),男,云南曲靖人,教授,已发表论文300余篇,获部省级奖6项.

中图分类号: O177.91
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- 被引次数: 0
出版历程
- 收稿日期: 2000-12-12
- 修回日期: 2001-11-05
- 刊出日期: 2002-04-15

Some Convergence Problem of Iterative Sequences for Accretive and Pseudo-Contractive Type Mappings in Banach Spaces

ZHANG Shi-sheng

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

摘要

摘要: 得出了Banach空间中增生和伪压缩型映象Ishikawa、Mann和最速下降序列强收敛于其不动点的充分必要条件.所得结果推广、改进和包含了某些最新的结果.
- 增生映象 /
- 伪压缩映象 /
- Mann(Ishikawa)迭代序列 /
- 最速下降序列
Abstract: Some necessary and sufficient conditions for convergence of Ishikawa Mann and steepest descent iterative sequence for accretive and pseudo-contractive type mappings in Banach spaces were obtained. The results improve, extend and include some recent results.
- accretive mapping /
- pseudo-contractive mapping /
- hemi-accretive mapping /
- hemi-pseudo-contractive mapping

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参考文献(17)

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