| 一般非线性变分不等式组的两步投影算法 |
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| 引用本文： | 闻道君 万波. 一般非线性变分不等式组的两步投影算法[J]. 渝州大学学报(自然科学版), 2007, 24(6): 547-550 |
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| 作者姓名： | 闻道君 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： | 对一类新的包含两个不同非线性算子的一般变分不等式组进行了研究；利用投影技巧，给出了一个求解这种一般变分不等式组的显式两步迭代算法；证明了该算法在适当的条件下收敛；所得的结果改进了该领域内的一些最新结果．
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| 关 键 词： | 变分不等式组 显式迭代算法 松弛强制映射 Lipschitzian连续 |
| 文章编号： | 1672-058X（2007）06-0547-04 |
| 收稿时间： | 2007-05-25 |
| 修稿时间： | 2007-07-02 |
Two - step projection method for a system of general nonlinear variational inequalities |
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| WEN Dao - jun,WAN Bo. Two - step projection method for a system of general nonlinear variational inequalities[J]. Journal of Yuzhou University(Natural Sciences Edition), 2007, 24(6): 547-550 |
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| Authors: | WEN Dao - jun WAN Bo |
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| Abstract: | In this paper, the author studies a new system of general variational inequalities involving two different nonlinear operators,uses the projection technique to give a new explicit two - step iterative method for this system of general variational inequalities, and proves that the new iterative method converge under certain mild conditions. The results obtained this paper represent a significant refinement and improvement of the previouslyknown results in this area. |
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| Keywords: | a system of variational inequalities explicit iterative method relaxed coercive mapping Lipschit- zian continuity |
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