| 求解广义混合隐拟平衡问题的预测修正算法 |
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| 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 |
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| 作者姓名： | 丁协平 林炎诚 姚任之 |
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| 作者单位： | 四川师范大学 数学与软件科学学院,成都 610066;2.中国医药大学 公共教育中心,台湾台中 404;3.中山大学 应用数学系,台湾高雄 804 |
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| 基金项目： | 四川省教育厅资助项目;台湾科委资助项目 |
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| 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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| 关 键 词： | 广义混合隐拟平衡问题 辅助变分不等式 预测修正迭代算法 部分松弛强单调性 |
| 文章编号： | 1000-0887（2006）09-1009-08 |
| 收稿时间： | 2005-07-12 |
| 修稿时间： | 2006-06-06 |
Predictor-Corrector Algorithms for Solving Generalized Mixed Implicit Quasi-Equilibrium Problems |
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| 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 |
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| Authors: | DING Xie-ping LIN Yen-cherng YAO Jen-chih |
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| Affiliation: | College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, P. R. China; |
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| Abstract: | A new class of generalized mixed implicit quasi-equilibrium problems ( GMIQEP ) with four-functions is introduced and studied. The new class of equilibrium problems includes many known generalized equilibrium problems and generalized mixed implicit quasi-variational inequality problems as many special cases. By employing the auxiliary principle technique, some predictor-corrector iterative algorithms for solving the GMIQEP were suggested and analyzed. The convergence of the suggested algorithm only requires the continuity and the partially relaxed implicit strong monotonicity of the mappings. |
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| Keywords: | generalized mixed implicit quasi-equilibrium problem auxiliary variational inequality predictor-corrector iterative algorithm partially relaxed implicit strong monotonicity |
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