| Hilbert空间广义变分不等式的迭代方法 |
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| 引用本文： | 雷鸣.Hilbert空间广义变分不等式的迭代方法[J].重庆交通大学学报(自然科学版),2006,25(1):159-161,168. |
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| 作者姓名： | 雷鸣 |
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| 作者单位： | 重庆交通学院,信息与计算科学研究所,重庆,400074 |
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| 摘 要： | 应用辅助原则技术,在部分相关强单调和非空有界闭子集条件下,提出了一个解广义变分不等式问题的预测校正算法.作为应用,给出了许多解不同类型变分不等式的新的结果.
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| 关 键 词： | 变分不等式 辅助原则 迭代方法 收敛 |
| 文章编号： | 1001-716X(2006)01-0159-03 |
| 修稿时间： | 2004年11月15 |
Iterative methods for generalized variational inequalities in hilbert space |
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| LEI Ming.Iterative methods for generalized variational inequalities in hilbert space[J].Journal of Chongqing Jiaotong University,2006,25(1):159-161,168. |
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| Authors: | LEI Ming |
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| Abstract: | we use the auxiliary principle technique to suggest a of predictor-corrector algorithms for solving generalized variational inequalities.The convergence of the method only requires the partially relaxed strongly monotonicity and nonempty bounded closed subsets of the operator.As for applications,we obtain a number of known and new results for solving various classes of variational inequalities. |
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| Keywords: | variational inequalities auxiliary principle iterative methods convergence |
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