| 一般混合似变分不等式组的迭代算法 |
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| 引用本文： | 姚莉.一般混合似变分不等式组的迭代算法[J].重庆工商大学学报(自然科学版),2008,25(6). |
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| 作者姓名： | 姚莉 |
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| 作者单位： | 重庆工商大学,数学与统计学院,重庆,400067 |
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| 摘 要： | 对一类新包含n个不同非线性算子和n个不同二元泛函的一般混合似变分不等式组进行了研究;利用预解算子技巧,给出了一个求解这种一般混合似变分不等式组的显式n步迭代算法,并证明了该算法在适当的条件下收敛.
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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 |
Iterative method for a system of general mixed guasi-variational inequalities |
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| YAO Li.Iterative method for a system of general mixed guasi-variational inequalities[J].Journal of Chongqing Technology and Business University:Natural Science Edition,2008,25(6). |
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| Authors: | YAO Li |
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| Abstract: | In this paper,we studied a new system of general mixed quasi-variational inequalities involving n different nonlinear operators and n different continuous bifunctions.Using the resolvent operator technique,we suggested and analyzed a new explicit n-steps iterative method for this system of general mixed quasi-variational inequalities.The new iterative method converged under certain mild conditions. |
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| Keywords: | a system of variational inequalities explicit iterative method relaxed coercive mapping Lipschitzian continuity |
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