| Banach空间中非扩张映象的黏性逼近方法 |
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| 引用本文： | 张石生.Banach空间中非扩张映象的黏性逼近方法[J].数学学报,2007,50(3):485-492. |
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| 作者姓名： | 张石生 |
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| 作者单位： | 宜宾学院数学系 宜宾 |
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| 基金项目： | 宜宾学院自然科学基金(2005Z3) |
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| 摘 要： | 借助Banach空间中非扩张映象的黏性逼近方法,得出了非扩张映象迭代序列收敛于其不动点的充分必要条件．本文结果推广和改进了一些人的最新结果．
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| 关 键 词： | 非扩张映象 不动点 一致光滑Banach空间 |
| 文章编号： | 0583-1431（2007）03-0485-08 |
| 收稿时间： | 2005-7-27 |
| 修稿时间： | 2005-07-27 |
Viscosity Approximation Methods for Nonexpansive Mappings in Banach Spaces |
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| Shi Sheng ZHANG.Viscosity Approximation Methods for Nonexpansive Mappings in Banach Spaces[J].Acta Mathematica Sinica,2007,50(3):485-492. |
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| Authors: | Shi Sheng ZHANG |
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| Institution: | Department of Mathematics, Yibin University, Yibin 644007, P. R. China Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China |
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| Abstract: | By using viscosity approximation methods for nonexpansive mappings in Banach spaces,some sufficient and necessary conditions for the iterative sequence to converge to a fixed point are obtained.The results presented in the is paper extend and improve some recent results. |
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| Keywords: | nonexpansive mapping fixed point uniformly smooth Banach space |
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