| 非扩张映射不动点的粘性逼近方法 |
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| 引用本文： | 唐艳.非扩张映射不动点的粘性逼近方法[J].数学的实践与认识,2013,43(6). |
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| 作者姓名： | 唐艳 |
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| 作者单位： | 重庆工商大学数学与统计学院,重庆,400067 |
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| 基金项目： | 重庆市自然科学基金资助项目 |
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| 摘 要： | 在具有一致Gateaux可微范数的Banach空间中,建立了一个改进的非扩张映射不动点的粘性逼近方法,并在一定条件下证明了该方法所得到的迭代序列的强收性.本文所得结果扩展并统一了部分文献的结果.
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| 关 键 词： | 非扩张映射 不动点 粘性逼近方法 强收敛 |
Viscosity Approximation Methods for Fixed Point of Nonexpansive Mappings |
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| TANG Yan.Viscosity Approximation Methods for Fixed Point of Nonexpansive Mappings[J].Mathematics in Practice and Theory,2013,43(6). |
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| Authors: | TANG Yan |
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| Abstract: | Based on the viscosity iterative scheme,the modified iterative sequence for the fixed point of nonexpansive mappings has been established in a real Banach space with a uniformly Gateaux differentiable norm.Under some suitable conditions,we present the strong convergence of the iterative sequence.This method can extend and unify the results of some literature. |
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| Keywords: | nonexpansive mappings fixed point viscosity approximation method strong convergence |
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