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求解广义混合隐拟平衡问题的预测修正算法

丁协平 林炎诚 姚任之

丁协平, 林炎诚, 姚任之. 求解广义混合隐拟平衡问题的预测修正算法[J]. 应用数学和力学, 2006, 27(9): 1009-1016.
引用本文: 丁协平, 林炎诚, 姚任之. 求解广义混合隐拟平衡问题的预测修正算法[J]. 应用数学和力学, 2006, 27(9): 1009-1016.
DING Xie-ping, LIN Yen-cherng, YAO Jen-chih. Predictor-Corrector Algorithms for Solving Generalized Mixed Implicit Quasi-Equilibrium Problems[J]. Applied Mathematics and Mechanics, 2006, 27(9): 1009-1016.
Citation: DING Xie-ping, LIN Yen-cherng, YAO Jen-chih. Predictor-Corrector Algorithms for Solving Generalized Mixed Implicit Quasi-Equilibrium Problems[J]. Applied Mathematics and Mechanics, 2006, 27(9): 1009-1016.

求解广义混合隐拟平衡问题的预测修正算法

基金项目: 四川省教育厅重点科研基金资助项目(2003A081);台湾科学委员会基金资助项目
详细信息
    作者简介:

    丁协平(1938- ),男,四川自贡人,教授(联系人.Tel.+86-28-84780952;E-mail:xieping-ding@hotmail.com);林炎成(1963- ),男,副教授;姚任(1959- ),男,高雄人,教授,博士生导师.

  • 中图分类号: O177.92

Predictor-Corrector Algorithms for Solving Generalized Mixed Implicit Quasi-Equilibrium Problems

  • 摘要: 引入和研究了一类新的具有四元函数的广义混合隐拟平衡问题.这类平衡问题包含了很多已知的广义平衡问题和广义混合隐拟变分不等式问题作为很特殊的情形.利用辅助原理技巧建议和分析了求解广义混合隐拟平衡问题的预测修正迭代算法.所建议算法的收敛性仅需要映象的连续性和部分松弛强单调性.
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    [11] Noor M A.Generalized mixed quasi-equilibrium problems with trifunction[J].Appl Math Lett,2005,18(6):695—700. doi: 10.1016/j.aml.2004.04.015
    [12] DING Xie-ping. Iterative algorithm of solutions for generalized mixed implicit equilibrium-like problems[J].Appl Math Comput,2005,162(2):799—809. doi: 10.1016/j.amc.2003.12.127
    [13] YAO Jen-chih,Guo J-S.Variational and generalized variational inequalities with discontinuous mappings[J].J Math Anal Appl,1994,182(2):371—392. doi: 10.1006/jmaa.1994.1092
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出版历程
  • 收稿日期:  2005-07-12
  • 修回日期:  2006-06-06
  • 刊出日期:  2006-09-15

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