| 弱广义混合变分不等式的辅助问题及迭代算法 |
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| 引用本文： | 赵恒军,邓磊.弱广义混合变分不等式的辅助问题及迭代算法[J].西南师范大学学报(自然科学版),2006,31(5):15-19. |
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| 作者姓名： | 赵恒军 邓磊 |
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| 作者单位： | 西南大学,数学与统计学院,重庆,400715 |
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| 基金项目： | 国家自然科学基金资助项目(10471113)，重庆市科委自然科学基金资助项目(CSTC,2005BB2097) . |
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| 摘 要： | 应用辅助变分原则研究了一类新的弱广义混合变分不等式,证明了辅助问题解的存在性及弱广义混合变分不等式解的存在性,也证明了迭代算法序列的收敛性.
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| 关 键 词： | 弱广义混合变分不等式 辅助变分原则 解的存在性 |
| 文章编号： | 1000-5471（2006）05-0015-05 |
| 收稿时间： | 2005-09-26 |
| 修稿时间： | 2005年9月26日 |
Auxiliary Principle and Iterative Algorithm for Weakly Generalized Mixed Variational Inequalities |
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| ZHAO Heng-jun,DENG Lei.Auxiliary Principle and Iterative Algorithm for Weakly Generalized Mixed Variational Inequalities[J].Journal of Southwest China Normal University(Natural Science),2006,31(5):15-19. |
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| Authors: | ZHAO Heng-jun DENG Lei |
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| Institution: | School of Mathematics and Statistics, Southwest University, Chongqing 400715, China |
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| Abstract: | In this paper, the authors use the auxiliary principle technique to study a class of weakly generalized mixed variational inequalities which are new. The authors prove the existence of the solution of the auxiliary problem for the weakly generalized mixed variational inequalities and show the existence of the solution by using the auxiliary principle technique; and the convergence of iterative sequences generated by the algorithm is also proved. |
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| Keywords: | weakly generalized mixed variational inequality auxiliary principle technique existence of the solution |
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