| 求解混合似变分不等式的一个四步迭代算法 |
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| 引用本文： | 万波.求解混合似变分不等式的一个四步迭代算法[J].渝州大学学报(自然科学版),2008,25(1):25-28. |
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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： | 研究了经典变分不等式的一种重要推广形式，即混合似变分不等式；利用混合似变分不等式与不动点问题和预解方程这一等价关系，提出了一个求解混合似变分不等式的四步迭代算法；证明了该算法在算子T伪单调连续的条件下收敛；结果推广和改进了先前的求解变分不等式算法．
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| 关 键 词： | 变分不等式 预解方程 伪单调 迭代算法 |
| 文章编号： | 1672-058X（2008）01-0025-04 |
| 收稿时间： | 2007-03-12 |
| 修稿时间： | 2007-07-10 |
A four- step iterative method for solving mixed quasi -variational inequalities |
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| WAN Bo.A four- step iterative method for solving mixed quasi -variational inequalities[J].Journal of Yuzhou University(Natural Sciences Edition),2008,25(1):25-28. |
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| Authors: | WAN Bo |
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| Institution: | WAN Bo (School of Science ,Chongqing Technology and Business University, Chongqing 400067, China) |
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| Abstract: | In this paper, the author studies the mixed quasi -variational inequalites which are an important generalization of variation inequalities, uses the fixed - point problems and the resolvent equation techniques which are equivalent to the mixed quasi - variational inequalities and suggest and analyze a four - step iterative method for solving mixed quasi - variational inequalities. The resolvent iterative methods converge for pseudomonotone and continuous operator T. The results can be viewed as significant extensions and amelioration of the previously known results for variational inequalities. |
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| Keywords: | variational inequalities resolvent equations pseudomonotone iterative methods |
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