| 关于混合拟似变分包含问题的解的迭代算法 |
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| 引用本文： | 胡梦瑜,陈珊敏.关于混合拟似变分包含问题的解的迭代算法[J].应用数学,2006,19(4):812-817. |
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| 作者姓名： | 胡梦瑜 陈珊敏 |
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| 作者单位： | 1. 上海东华大学理学院,上海,200051;上海师范大学数学系,上海,200234
2. 上海东华大学理学院,上海,200051 |
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| 摘 要： | 本文对混合拟似变分包含问题提出新的辅助变分不等式,首先证明辅助变分不等式存在唯一解.然后,通过这一辅助形式建立混和拟似变分包含问题解的迭代算法.最后讨论在新的算法下迭代解的收敛性.
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| 关 键 词： | 混和拟似变分包含问题 辅助变分不等式 迭代算法 Banach空间 |
| 文章编号： | 1001-9847(2006)04-0812-06 |
| 收稿时间： | 2006-03-20 |
| 修稿时间： | 2006年3月20日 |
Algorithm of Solutions for Mixed Quasi-Variational-Like Inclusions in Banach Space |
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| HU Meng-yu,CHEN Shan-min.Algorithm of Solutions for Mixed Quasi-Variational-Like Inclusions in Banach Space[J].Mathematica Applicata,2006,19(4):812-817. |
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| Authors: | HU Meng-yu CHEN Shan-min |
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| Institution: | 1. Department of Applied Mathematics, Donghua University, Shanghai 200051 ;2. Department of Mathematics, Shanghai Normal University, Shanghai 200234, China |
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| Abstract: | This paper presents a new auxiliary variational inequality for solving mixed quasi-variational-like inclusions.First,proved the auxiliary variational inequality has unique solution.Then using this auxiliary variational inequality,established the iterative algorithm for mixed quasi-variational-like inclusion.Finally,discussed the convergence of iterative approximate solution sequence. |
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| Keywords: | Mixed quasi-variational-like inclusion Auxiliary variational inequality Iterative algorithm Banach space |
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