关于Banach空间非扩张半群的强收敛定理

张石生; 杨莉; 柳京爱

关于Banach空间非扩张半群的强收敛定理

1.
宜宾学院数学系,四川宜宾 644007;2.西南科技大学数学系,四川绵阳 621002;3.延边大学理学院数学系,吉林延吉 133002

基金项目: 四川省自然科学基金资助项目(2005A1321)

详细信息

作者简介:
张石生(1934- ),男,云南曲靖人,教授(联系人.E-mail:sszhang_1@yahoo.com.cn).

中图分类号: O177.91
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出版历程
- 收稿日期: 2006-12-11
- 修回日期: 2007-08-08
- 刊出日期: 2007-10-15

On the Strong Convergence Theorems for Nonexpansive Semi-Groups in Banach Spaces

1.
Department of Mathematics, Yibin University, Yibin, Sichuan 644007, P. R. China;

摘要

摘要: 在Banach空间框架下，建立了几个关于非扩张半群显式迭代序列的强收敛定理．所得结果不仅推广和改进了Shioji-Takahashi,Suzuki,Xu以及Aleyner-Reich等人的相应结果，而且还部分肯定地回答了Suzuki和Xu提出的两个公开问题．
- 非扩张半群 /
- 半闭原理 /
- 公共不动点 /
- 一致光滑的Banach空间 /
- 具弱连续性的正规对偶映象
Abstract: Some strong convergence theorems of explicit composite iteration scheme for nonexpansive semi-groups in the framework of Banach spaces are established.The results not only extend and improve the corresponding results of Shioji-Takahashi,Suzuki,Xu and Aleyner-Reich,but also give a partially affirmative answer to the open questions raised by Suzuki and Xu.
- nonexpansive semigroup /
- demi-closed principle /
- common fixed point /
- uniformly smooth Banach space /
- weakly continuous normalized duality mapping

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参考文献(15)

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