| Banach空间中渐近非扩张强连续半群不动点的粘性逼近 |
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| 引用本文： | 唐艳,闻道君.Banach空间中渐近非扩张强连续半群不动点的粘性逼近[J].数学的实践与认识,2012,42(9):225-230. |
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| 作者姓名： | 唐艳 闻道君 |
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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： | 国家自然科学基金，重庆市教委科技研究项目 |
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| 摘 要： | 在具有一致Gateaux可微范数的Banach空间中,讨论了一个逼近渐近非扩张强连续半群不动点的两步粘性逼近方法,并在一定条件下证明了该方法所得到的迭代序列的强收敛性.
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| 关 键 词： | 渐近非扩张映射 粘性逼近方法 不动点 强收敛 |
A New Class of General Nonconvex Variational Inequality Problems |
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| TANG Yan
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WEN Dao-jun.A New Class of General Nonconvex Variational Inequality Problems[J].Mathematics in Practice and Theory,2012,42(9):225-230. |
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| Authors: | TANG Yan WEN Dao-jun |
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| Institution: | (College of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067, China) |
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| Abstract: | In this paper,a modified two-step viscosity iterative scheme is proposed for approximating the fixed point of Asymptotic nonexpansive strongly continuous semi-group in a real Banach space with a uniformly G?teaux differentiable norm,whose strong convergence is proved under some suitable conditions. |
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| Keywords: | asymptotic nonexpansive viscosity approximation fixed point strong convergence |
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