| 非扩张映射粘性逼近的强收敛性 |
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| 引用本文： | 王帮容,闻道君.非扩张映射粘性逼近的强收敛性[J].数学的实践与认识,2011,41(12). |
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| 作者姓名： | 王帮容 闻道君 |
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| 作者单位： | 1. 四川理工学院理学院,四川自贡，643000
2. 重庆工商大学数学与统计学院,重庆，400067 |
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| 基金项目： | 四川省人工智能重点实验室项目 |
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| 摘 要： | 在具有一致Gateaux可微范数的Banach空间中,研究了一个逼近非扩张映射不动点的粘性逼近方法,运用Banach极限推导了该逼近方法收敛的充分条件,并通过对该粘性逼近方法的修正逐步减少了收敛分析中的限制条件.
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| 关 键 词： | 非扩张映射 不动点 粘性逼近 Banach极限 充分条件 |
Strong Convergence of Viscosity Approximation for Nonexpansive Mappings |
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| WANG Bang-rong,WEN Dao-jun.Strong Convergence of Viscosity Approximation for Nonexpansive Mappings[J].Mathematics in Practice and Theory,2011,41(12). |
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| Authors: | WANG Bang-rong WEN Dao-jun |
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| Abstract: | In this paper,a viscosity approximation scheme is proposed for approximating the fixed point of nonexpansive mappings in a uniformly smooth Banach space,which sufficient condition for strong convergence is deduced with Banach limit.Restriction conditions of convergence are reduced successively based on the modified viscosity approximation method. |
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| Keywords: | nonexpansive mappings fixed point viscosity approximation method Banach limit sufficient condition |
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