| 修正辅助技术求解广义混合隐拟变分不等式 |
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| 引用本文： | 胡梦瑜,陆允生.修正辅助技术求解广义混合隐拟变分不等式[J].上海师范大学学报(自然科学版),2007,36(4):16-23. |
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| 作者姓名： | 胡梦瑜 陆允生 |
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| 作者单位： | 1. 东华大学,应用数学系,上海,200051;上海师范大学,数理信息学院,上海,200234
2. 东华大学,应用数学系,上海,200051 |
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| 基金项目： | Donghua University Foundation（04039）. |
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| 摘 要： | 研究了Hilbert空间上一类广义混合隐拟变分不等式．利用KKM原理的思想，证明了解的存在，惟一性定理，并且建立了相应的近似解迭代算法，对算法作了收敛性分析．研究的问题更具一般性，同时推广了有关于这类问题的迭代算法．
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| 关 键 词： | 混合隐拟变分不等式 辅助不等式 迭代算法 存在定理 |
| 文章编号： | 1000-5137（2007）04-0016-08 |
| 修稿时间： | 2006-10-20 |
A modified auxiliary technique for solving generalized mixed implicit quasi - variational inequalities |
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| HU Meng-yu,LU Yun-sheng.A modified auxiliary technique for solving generalized mixed implicit quasi - variational inequalities[J].Journal of Shanghai Normal University(Natural Sciences),2007,36(4):16-23. |
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| Authors: | HU Meng-yu LU Yun-sheng |
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| Institution: | 1. Department of Applied Mathematics, Donghua University, Shanghai 200051, China 2. College of Mathematics and Sciences, Shanghai Normal University, Shanghai 200234, China |
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| Abstract: | We proposed a modified auxiliary inequality for solving generalized mixed implicit quasi - variational inequalities in a Hilbert space. Using the auxiliary inequality, we prove the solution existence for generalized mixed implicit quasi - variational inequalities, and establish the iterative algorithm for the approximate solutions. Also we discuss the convergence of the iterative solution sequence generated by the algorithm. |
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| Keywords: | Mixed implicit quasi-variational inequality auxiliary inequality iterative algorithm existence theorem |
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