| 求解单调变分不等式的近似邻近点算法的收敛性分析 |
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| 引用本文： | 唐国吉.求解单调变分不等式的近似邻近点算法的收敛性分析[J].纯粹数学与应用数学,2009,25(1):183-189. |
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| 作者姓名： | 唐国吉 |
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| 作者单位： | 广西民族大学数学与计算机科学学院,广西,南宁,530006 |
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| 基金项目： | 广西民族大学青年科学基金 |
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| 摘 要： | 为了求解单调变分不等式,建立了一个新的误差准则,并且在不需要增加诸如投影,外梯度等步骤的情况下证明了邻近点算法的收敛性.
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| 关 键 词： | 变分不等式 邻近点算法 收敛性 |
The convergence analysis of an approximate proximal point algorithm for monotone variational inequalities |
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| TANG Guo-ji.The convergence analysis of an approximate proximal point algorithm for monotone variational inequalities[J].Pure and Applied Mathematics,2009,25(1):183-189. |
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| Authors: | TANG Guo-ji |
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| Institution: | Mathematics and Computer Science College;Guangxi University for Nationalities;Nanning 530006;China |
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| Abstract: | In this paper,a new error criterion of approximate proximal point algorithm for solving monotone variational inequalities is constructed,and the convergence of the algorithm is proved,where indirect step,such as projection step,extragradient step,is not required. |
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| Keywords: | variational inequalities proximal point algorithm convergence |
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