| Hilbert空间中Lipschitz单调映像变分不等式解的另一个逼近定理 |
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| 引用本文： | 陈东青,刘立红,高改良.Hilbert空间中Lipschitz单调映像变分不等式解的另一个逼近定理[J].数学的实践与认识,2010,40(12). |
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| 作者姓名： | 陈东青 刘立红 高改良 |
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| 摘 要： | 首先给出了Hilbert空间中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 |
Another Approximation Theorem of Solutions of Variational Inequalities for Lipschitz Monotone Mappings in Hilbert Spaces |
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| CHEN Dong-qing,LIU Li-hong,GAO Gai-liang.Another Approximation Theorem of Solutions of Variational Inequalities for Lipschitz Monotone Mappings in Hilbert Spaces[J].Mathematics in Practice and Theory,2010,40(12). |
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| Authors: | CHEN Dong-qing LIU Li-hong GAO Gai-liang |
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| Abstract: | In the present paper,an iterative sequence of solving varitional inequalities for Lipschitz monotone mappings in Hilbert spaces is proposed firstly,and then its convergence is proved.As its applications,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 mappings pseudo-contraction |
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