## 留言板

 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

###### 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．
•  [1] Noor M A.Solvability of multivalued general mixed variational inequalities[J].J Math Anal Appl,2001,261(2):390—402. [2] Noor M A.Some predictor-corrector algorithms for multi-valued variational inequalities[J].J Optim Theory Appl,2001,108(3):659—671. [3] Noor M A.A Predictor-corrector algorithms for general variational inequalities[J].Appl Math Lett,2001,14:53—58. [4] Noor M A.Iterative methods for generalized variational inequalities[J].Appl Math Lett,2002,15:77—82. [5] Noor M A.Mixed quasi variational inequalities[J].Appl Math Comput,2003,146:553—578. [6] Noor M A.Multivalued general equilibrium problems[J].J Math Anal Appl,2003,283(1):140—149. [7] DING Xie-ping.On generalized mixed variational-like inequalities[J].J Sichuan Normal Univ,2003,22(5):494—503. [8] DING Xie-ping.Predictor-corrector iterative algorithms for solving generalized mixed variational-like inequalities[J].Appl Math Comput,2004,152(3):855—865. [9] DING Xie-ping.Predictor-corrector iterative algorithms for solving generalized mixed quasi-variational-like inequalities[J].J Comput Appl Math,2005,182(1):1—12. [10] Noor M A.Auxiliary principle technique for equilibrium problems[J].J Optim Theory Appl,2004,122(2):371—386. [11] Noor M A.Generalized mixed quasi-equilibrium problems with trifunction[J].Appl Math Lett,2005,18(6):695—700. [12] DING Xie-ping. Iterative algorithm of solutions for generalized mixed implicit equilibrium-like problems[J].Appl Math Comput,2005,162(2):799—809. [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. [14] Aubin J P,Cellina A.Differential Inclusions[M].New York:Springer-Verlag,1984. [15] Border K C.Fixed Point Theorems With Applications to Economics and Game Theory[M].Cambridge:Cambridge Univ Press,1985.

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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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