| 正则化方法求解变分不等式 |
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| 引用本文： | 何松年,左楠楠.正则化方法求解变分不等式[J].中国民航学院学报,2010,28(3):60-64. |
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| 作者姓名： | 何松年 左楠楠 |
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| 作者单位： | 中国民航大学理学院,天津,300300 |
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| 基金项目： | 天津市自然科学基金项目 |
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| 摘 要： | 基于正则化思想，分别对于带有Lipschitz连续单调映像以及带有Lipschitz连续伪压缩映像的补算子的变分不等式，建立了隐式计算格式，并且证明了计算格式的强收敛性。本文结果改进了Hong—Kun Xu的相关结果。
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| 关 键 词： | 变分不等式 强单调 Lipschitz连续 伪压缩映像 Hilbert空间 |
Regularization Method for Solving Variational Inequalities |
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| HE Song-nian,ZUO Nan-nan.Regularization Method for Solving Variational Inequalities[J].Journal of Civil Aviation University of China,2010,28(3):60-64. |
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| Authors: | HE Song-nian ZUO Nan-nan |
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| Institution: | (College of Science, CA UC , Tianjin 300300, China) |
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| Abstract: | Based on regularization ideas, two implicit schemes are proposed for solving variational inequalities governed by Lipschitz monotone mappings and complement operators of Lipschitz pseudo-contractive mappings respectively. Strong convergences of the schemes are proved. Results of this paper improve Hong-Kun Xu＇s relevant results. |
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| Keywords: | variational inequality strongly monotone Lipschitzian continuity pseudo-contractions Hilbert space |
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