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解变分不等式的三步松弛混合最速下降法 被引量：8

Three-Step Relaxed Hybrid Steepest-Descent Methods for Variational Inequalities
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摘要 在Hilbert空间的非空闭凸子集上研究了具有Lipschitz和强单调算子的经典变分不等式.为求解此变分不等式引入了一类新的三步松弛混合最速下降法.在算法参数的适当假设下,证明了此算法的强收敛性. The classical variational inequality problem with a Lipschitzian and strongly monotone operator on a nonempty dosed convex subset in a real Hilbert space was studied. A new three-step relaxed hybrid steepest-descent method for this class of variational inequalities was introduced. Strong convergence of this method was established under suitable assumptions imposed on the algorithm parameters.
作者 丁协平 林炎诚 姚任之
机构地区 四川师范大学数学与软件科学学院 中国医药大学公共教育中心 国立中山大学应用数学系
出处 《应用数学和力学》 CSCD 北大核心 2007年第8期921-928,共8页 Applied Mathematics and Mechanics
基金 四川省教育厅重点科研基金资助项目(2003A081) 四川重点学科基金资助项目(0406)
关键词 变分不等式 松弛混合最速下降法 强收敛 非扩张映射 Hillbert空间 variational inequality relaxed hybrid steepest-descent method strong convergence nonexpansive mapping Hilbert space
分类号 O177.92 [理学—基础数学]
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参考文献14

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同被引文献83

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引证文献8

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应用数学和力学
2007年 第8期

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