| 求解变分不等式的一个迭代算法 |
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| 引用本文： | 万波.求解变分不等式的一个迭代算法[J].重庆工商大学学报(自然科学版),2007,24(4):328-330. |
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| 作者姓名： | 万波 |
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| 作者单位： | 重庆工商大学,理学院,重庆,400067 |
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| 摘 要： | 利用变分不等式与不动点问题这一等价关系,将投影技巧、分裂技巧及自适应技巧结合,给出了一种求解变分不等式的新的迭代算法;该算法同时包含几个新的和已知的算法作为特例;在算子是伪单调连续的条件下,即可证明新提出算法的收敛性.
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| 关 键 词： | 变分不等式 伪单调 分裂技巧 自适应 |
| 文章编号： | 1672-058X（2007）04-0328-03 |
| 收稿时间： | 2006-12-18 |
| 修稿时间： | 2006-12-182007-03-26 |
Iterative method for solving variational inequalities |
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| WAN Bo.Iterative method for solving variational inequalities[J].Journal of Chongqing Technology and Business University:Natural Science Edition,2007,24(4):328-330. |
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| Authors: | WAN Bo |
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| Institution: | College of Science, Chongqing Technology and Business University, Chongqing 400067 ,China |
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| Abstract: | It is well known that the variational inequalities are equivalent to the fixed point problems.Using this equivalence,combining projection technique,splitting technique and self-adaptive technique,the author suggests and analyzes a new iterative method for solving variational inequalities.The proposed methods include several new and known methods as special cases;The new iterative methods converge for pseudomonotone and continuous operators. |
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| Keywords: | variational inequalities pseudomonotone splitting technique self-adaptive |
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