| 一般变分不等式的三步迭代算法 |
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| 引用本文： | 闻道君,邓磊.一般变分不等式的三步迭代算法[J].四川师范大学学报(自然科学版),2009,32(4). |
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| 作者姓名： | 闻道君 邓磊 |
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| 作者单位： | 1. 重庆工商大学,数学与统计学院,重庆,400067;西南大学,数学与统计学院,重庆,400715
2. 西南大学,数学与统计学院,重庆,400715 |
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| 摘 要： | 利用变分不等式和不动点问题的等价关系,给出了一个新的求解一般变分不等式的三步迭代算法;该算法在现有的两步迭代算法基础上,利用校正方法建立了第三步迭代公式;最后在适当条件下证明了该算法的收敛性,所得结论推广了该领域内的一些最新结果.
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| 关 键 词： | 一般变分不等式 g-(γ r)-松弛强制映射 g-μ-Lipschitzian连续 投影算子 |
A Three-steps Iterative Algorithm for General Variational Inequalities |
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| WEN Dao-jun,DENG Lei.A Three-steps Iterative Algorithm for General Variational Inequalities[J].Journal of Sichuan Normal University(Natural Science),2009,32(4). |
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| Authors: | WEN Dao-jun DENG Lei |
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| Institution: | 1.College of Mathematics and Statistics;Chongqing Technology and Business University;Chongqing 400067;2.College of Mathematics and Statistics;Southwest University;Chongqing 400715 |
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| Abstract: | It is well known that the variational inequalities are equivalent to the fixed point problems.A new three-steps iterative algorithm is proposed for general variational inequalities based on the equivalence.The new algorithm includes the known two-steps iterative algorithm as special case,and modifies the iterative algorithm with the third-step iteration scheme by using the technique of updating.The convergence of the algorithm is proved under mild conditions.The results in this paper can be viewed as an imp... |
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