| 广义非线性混合拟似变分不等式及投影校正算法 |
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| 引用本文： | 邓传现,黄发伦. 广义非线性混合拟似变分不等式及投影校正算法[J]. 四川大学学报(自然科学版), 2005, 42(5): 867-872 |
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| 作者姓名： | 邓传现 黄发伦 |
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| 作者单位： | 四川大学数学学院,成都,610064;四川大学数学学院,成都,610064 |
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| 摘 要： | 应用辅助原理技巧，作者建立了一种投影校正算法来求解广义非线性混合拟似变分乏等式．另外，作者引入了一类新的广义混合单调映象的概念，并在Hilbert空间和有限维空间中给出了一些收敛性结果．
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| 关 键 词： | 混合拟似变分不等式 辅助原理 迭代算法 收敛性 |
| 文章编号： | 0490-6756（2005）05-0867-06 |
| 收稿时间： | 2004-01-12 |
| 修稿时间： | 2004-01-12 |
Predictor-corrector Algorithms for Generalized Nonlinear Mixed Quasi-variational-like Inequalities |
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| DENG Chuan-xian,HUANG Fa-lun. Predictor-corrector Algorithms for Generalized Nonlinear Mixed Quasi-variational-like Inequalities[J]. Journal of Sichuan University (Natural Science Edition), 2005, 42(5): 867-872 |
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| Authors: | DENG Chuan-xian HUANG Fa-lun |
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| Abstract: | In this paper, the authors use the auxiliary principle technique to suggest a new class of predictor-corrector algorithms for solving generalized nonlinear mixed quasi-variational-like inequalities. They introduce the concept of generalized mixed monotone for the nonlinear mapping and give some convergence results in Hilbert space and finite-dimensional space. The results presented in this paper improve and extend some known results in the literature. |
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| Keywords: | mixed quasi-variational-like inequality auxiliary principle iterative method convergence |
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