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| PREDICTOR-CORRECTOR ALGORITHMS FOR SOLVING GENERALIZED MIXED IMPLICIT QUASI-EQUILIBRIUM PROBLEMS | |
| 引用本文： | 丁协平,林炎诚,姚任之. PREDICTOR-CORRECTOR ALGORITHMS FOR SOLVING GENERALIZED MIXED IMPLICIT QUASI-EQUILIBRIUM PROBLEMS[J]. 应用数学和力学(英文版), 2006, 27(9): 1157-1164. DOI: 10.1007/s 10483-006-0901-1 |
| 作者姓名： | 丁协平 林炎诚 姚任之 |
| 作者单位： | [1]College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, P. R. China [2]General Education Center, China Medical University, Taichung 404, Taiwan, China [3]Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 80424, Taiwan, China |
| 基金项目： | Project supported by the Natural Science Foundation of Sichuan Educational Commission （No.2003A081） |
| 摘 要： | 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 are suggested and analyzed. The convergence of the suggested algorithm only requires the continuity and the partially relaxed implicit strong monotonicity of the mappings |
| 关 键 词： | 准平衡 辅助变化不等式 预估修正迭代算法 单调性 |
| 文章编号： | 10.1007/s10483-006-0901-1 |
| 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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| Xie-ping Ding,Yen-cherng Lin,Jen-chih Yao. Predictor-corrector algorithms for solving generalized mixed implicit quasi-equilibrium problems[J]. Applied Mathematics and Mechanics(English Edition), 2006, 27(9): 1157-1164. DOI: 10.1007/s 10483-006-0901-1 | |
| Authors: | Xie-ping Ding Yen-cherng Lin Jen-chih Yao |
| Affiliation: | 1. College of Mathematics and Software Science, Sichuan Normal University,Chengdu 610066, P. R. China 2. General Education Center, China Medical University, Taichung 404, Taiwan, China 3. Department of Applied Mathematics, National Sun Yat-sen University,Kaohsiung 80424, Taiwan, China |
| 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 are suggested and analyzed. The convergence of the suggested algorithm only requires the continuity and the partially relaxed implicit strong monotonicity of the mappings. |
| Keywords: | generalized mixed implicit quasi-equilibrium problem auxiliary variational inequality predictor-corrector iterative algorithms partially relaxed implicit strong monotonicity |
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