| Hilbert空间中无穷多个Lipschitz单调映像变分不等式解的逼近定理 |
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| 引用本文： | 刘立红,陈东青,高改良.Hilbert空间中无穷多个Lipschitz单调映像变分不等式解的逼近定理[J].军械工程学院学报,2011(3):69-71. |
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| 作者姓名： | 刘立红 陈东青 高改良 |
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| 作者单位： | 军械工程学院基础部,河北石家庄050003 |
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| 摘 要： | 首先给出了Hilbert空间中无穷多个Lipschitz单调映像变分不等式解的迭代格式,并证明了其收敛性。作为应用,证明了Hilbert空间中Lipschitz伪压缩映像的强收敛定理,扩展了已知的相关结果。
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| 关 键 词： | 强收敛 变分不等式 单调映像 伪压缩映像 |
An Approximation Theorem of Solutions of Variational Inequalities for Infinite Lipschitz Monotone Mappings in Hilbert Spaces |
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| LIU Li-hong,CHEN Dong-qing,GAO Gai-liang.An Approximation Theorem of Solutions of Variational Inequalities for Infinite Lipschitz Monotone Mappings in Hilbert Spaces[J].Journal of Ordnance Engineering College,2011(3):69-71. |
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| Authors: | LIU Li-hong CHEN Dong-qing GAO Gai-liang |
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| Institution: | (Department of Basic Courses,Ordnance Engineering College,Shijiazhuang 050003,China) |
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| Abstract: | In the present paper,an iterative sequence of solving variational inequalities for infinite Lipschitz monotone mappings in Hilbert spaces is proposed,and then its convergence is proved.As its application,a strong convergence theorem for Lipschitz pseudo-contractions is obtained,which extends the known results. |
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| Keywords: | strong convergence variational inequality monotone mapping pseudo-contraction |
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