| 一般混合集值拟变分不等式的预估-校正算法 |
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| 引用本文： | 江莉. 一般混合集值拟变分不等式的预估-校正算法[J]. 陕西理工学院学报(自然科学版), 2006, 22(4): 91-94 |
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| 作者姓名： | 江莉 |
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| 作者单位： | 青岛科技大学,数理系,山东,青岛,266042 |
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| 摘 要： | 利用辅助原理提出了一种解一般混合集值拟变分不等式的预估-校正算法。如果混合集值拟变分不等式中的双函数是斜对称的，则新算法的收敛性只要求映射是g-局部放松强单调的即可，这是一个比g-强制性更弱的条件。
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| 关 键 词： | 变分不等式 辅助原理 预估-校正算法 收敛性 |
| 文章编号： | 1673-2944(2006)04-0091-04 |
| 收稿时间： | 2006-06-17 |
| 修稿时间： | 2006-06-17 |
Predictor-corrector method for multivalued general mixed quasi variational inequalities |
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| JIANG Li. Predictor-corrector method for multivalued general mixed quasi variational inequalities[J]. Journal of Shananxi University of Technology(Natural Science Edition), 2006, 22(4): 91-94 |
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| Authors: | JIANG Li |
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| Affiliation: | Department of Mathematics,Qingdao University of Science and Technology, Qingdao 266042, China |
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| Abstract: | In this paper,a new predictor-corrector method for solving muhivalued general mixed quasi variational inequalities is presented by using the auxiliary principle technique. If the bifunction involving the muhivalued general mixed quasi variational inequalities is skew-symmetric, then it is shown that the convergence of the new method requires the partically relaxed strong monotonicity property of the operator,which is a weaker condition than cocoecivity. |
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| Keywords: | variational inequalities auxiliary principle predictor-corrector method convergence |
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