| 一般混合似变分不等式的隐式迭代算法 |
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| 引用本文： | 万波,江晓涛,曹于忠.一般混合似变分不等式的隐式迭代算法[J].纯粹数学与应用数学,2009,25(2):384-389. |
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| 作者姓名： | 万波 江晓涛 曹于忠 |
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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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| 基金项目： | 重庆市自然科学基全(CQSC |
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| 摘 要： | 对一般混合似变分不等式的若干隐式迭代算法进行了研究；利用一般混合似变分不等式与不动点问题和预解方程的等价关系，采用分裂技巧和自适应迭代技巧结合，提出了一个求解一般混合似变分不等式的新的隐式迭代算法；并证明了该算法在算子T是g-单调连续的条件下收敛．
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| 关 键 词： | 变分不等式 预解方程 自适应 隐式迭代 |
Implicit iterative methods for general mixed quasi-variational inequalities |
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| WAN Bo,JIANG Xiao-tao,CAO Yu-zhong.Implicit iterative methods for general mixed quasi-variational inequalities[J].Pure and Applied Mathematics,2009,25(2):384-389. |
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| Authors: | WAN Bo JIANG Xiao-tao CAO Yu-zhong |
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| Institution: | WAN Bo,JIANG Xiao-tao,CAO Yu-zhong (Mathematics , Statistics College of Chongqing Technology , Business University,Chongqing 400067,China) |
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| Abstract: | In this paper, we study several implicit methods for solving general mixed quasi-variational in-equalites. It is well known that the general mixed quasi-variational inequalities are equivalent to the fixed point problems and the resolvent equations. Using this equivalence, combining splitting methods and self-adaptive resolvent method,we suggest and analyze a new implicit iterative method for solving general mixed quasi-variational inequalities. These methods converge for g-pseudomonotone and continuous ope... |
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| Keywords: | variational inequalities resolvent equations self-adaptive implicit iterative methods |
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