| Hilbert空间中广义变分不等式的投影算法 |
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| 引用本文： | 李涛,夏福全.Hilbert空间中广义变分不等式的投影算法[J].四川师范大学学报(自然科学版),2011,34(5):610-614. |
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| 作者姓名： | 李涛 夏福全 |
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| 作者单位： | 四川师范大学数学与软件科学学院,四川成都,610066 |
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| 基金项目： | 国家自然科学基金(10671135,70831005); 四川省教育厅自然科学重点基金(09ZA091)资助项目 |
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| 摘 要： | 在Hilbert空间中研究了广义变分不等式的投影算法.在算法的每一步,首先在集值映象T中选取适当的点,然后将它投影到变分不等式的可行集上,获得下一步的迭代点.在集值映象为伪单调*的条件下,证明了迭代序列弱收敛于广义变分不等式的解.
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| 关 键 词： | 投影算法 弱收敛 伪单调*映象 |
A Projected Method for Solving Generalized Variational Inequalities in Hilbert Spaces |
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| LI Tao,XIA Fu-quan.A Projected Method for Solving Generalized Variational Inequalities in Hilbert Spaces[J].Journal of Sichuan Normal University(Natural Science),2011,34(5):610-614. |
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| Authors: | LI Tao XIA Fu-quan |
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| Institution: | LI Tao,XIA Fu-quan(College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan) |
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| Abstract: | In this paper,we consider the projection method for solving generalized variational inequalities in Hilbert spaces.We investigate a general iterative algorithm.In each step,we select a point in the set-valued mapping T followed by a projection onto the feasible set of the generalized variational inequality.Under the assumption that the set-valued mapping is pseudomonotone*,we prove that the iterative sequences is weakly convergent and the weak limit point is the solution of generalized variational inequalit... |
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| Keywords: | projected method weakly convergent pseudomonotone* mapping |
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