| Banach空间中非扩张映射的黏性逼近方法 |
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| 引用本文： | 邓微微,何中全.Banach空间中非扩张映射的黏性逼近方法[J].曲靖师专学报,2011(6):25-29. |
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| 作者姓名： | 邓微微 何中全 |
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| 作者单位： | 西华师范大学数学与信息学院,四川南充637000 |
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| 基金项目： | 四川省教育厅重点课题基金资助项目（08ZA159）阶段性成果 |
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| 摘 要： | 借助Banach空间中非扩张映射的黏性逼近方法,在范数一致Gateaux可微的Banach空间中,提出一种改进的黏性迭代算法,证明了由该黏性迭代算法生成的序列强收敛于一类非扩张映射的不动点.推广了一些文献中的研究成果.
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| 关 键 词： | 非扩张映射 不动点 黏性逼近方法 范数一致Gateaux可微 |
Viscosity Approximation Methods for Nonexpansive Mappings in Banach Spaces |
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| Authors: | Deng Weiwei He Zhongquan |
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| Institution: | (School of Mathematics and Information,China West Normal University,Sichuan Nanchong 637000,P.R.China) |
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| Abstract: | By viscosity approximation methods,a new viscosity iterative algorithm is introduced.The iterative sequences generated by the algorithm converge into the fixed points of a nonexpansive mapping in unifo-rmly G-differentiable Banach spaces are proved.The present results improve and extend many known results in the literature. |
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| Keywords: | nonexpansive mapping fixed point viscosity approximation methods uniformly G-differentiable norm |
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