On the Strong Convergence Theorems for Nonexpansive Semi-Groups in Banach Spaces
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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.
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关键词:
- 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. -
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