| 求解单调变分不等式的两类迭代算法 |
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| 引用本文： | 荣祯.求解单调变分不等式的两类迭代算法[J].应用泛函分析学报,2012,14(1):109-112. |
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| 作者姓名： | 荣祯 |
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| 作者单位： | 内蒙古大学鄂尔多斯学院公共教学部,鄂尔多斯,017000 |
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| 摘 要： | 给出了求解单调变分不等式的两类迭代算法．通过解强单调变分不等式子问题，产生两个迭代点列，都弱收敛到变分不等式的解．最后，给出了这两类新算法的收敛性分析．
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| 关 键 词： | 单调变分不等式 强单调变分不等式 迭代算法 |
Two Classes of Iterative Algorithms for Solving Monotone Variational Inequality Problems |
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| RONG Zhen.Two Classes of Iterative Algorithms for Solving Monotone Variational Inequality Problems[J].Acta Analysis Functionalis Applicata,2012,14(1):109-112. |
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| Authors: | RONG Zhen |
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| Institution: | RONG Zhen College Department of Public Education,Ordos College of Inner Mongolia University,Ordos 017000,China |
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| Abstract: | Two classes of iterative algorithms for solving monotone variational inequality problems were proposed.Via solving strongly monotone variational inequality problem,the algorithms generated two iterative sequences which weakly converged to a solution of the variational inequality problems.In the end,the convergence of these two new classes of iterative algorithms was analyzed. |
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| Keywords: | monotone variational inequality strongly monotone variational inequality iterative algorithm |
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