| 一类变分不等式解的混合最速下降算法 |
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| 引用本文： | 何松年,梁晓兰.一类变分不等式解的混合最速下降算法[J].中国民航学院学报,2010,28(2):61-64. |
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| 作者姓名： | 何松年 梁晓兰 |
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| 作者单位： | 中国民航大学理学院,天津,300300 |
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| 摘 要： | 证明了定义于严格伪压缩映像不动点集上的变分不等式解的混合最速下降算法的强收敛性，推广了Yamada的相关结果。
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| 关 键 词： | 严格伪压缩映像 混合最速下降算法 不动点 变分不等式 |
Hybrid Steepest Descent Method for Solving a Class of Variational Inequalities |
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| HE Song-nian,LIANG Xiao-lan.Hybrid Steepest Descent Method for Solving a Class of Variational Inequalities[J].Journal of Civil Aviation University of China,2010,28(2):61-64. |
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| Authors: | HE Song-nian LIANG Xiao-lan |
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| Institution: | HE Song-nian, LIA NG Xiao-lan (College of Science, CA UC, Tianjin 300300, China) |
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| Abstract: | We prove strong convergence of the hybrid steepest descent method for solving variational inequalities over the set of fixed points of a strict pseudo-contraction. The result in this paper extends Yamada＇s corresponding result. |
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| Keywords: | strict pseudo-contractions hybrid steepest descent method fixed point variational inequality |
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