| 求解带有三元函数的广义半均衡问题的预测校正法 |
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| 引用本文： | 范丽亚,刘庆敏.求解带有三元函数的广义半均衡问题的预测校正法[J].应用数学,2008,21(1):38-43. |
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| 作者姓名： | 范丽亚 刘庆敏 |
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| 作者单位： | 1. 聊城大学数学科学学院,山东,聊城,252059
2. 天津工业大学理学院,天津,300160 |
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| 基金项目： | Colleges and Universities Science and Technology Development Foundation(20040401)of Tianjin |
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| 摘 要： | 本文介绍一类新的均衡问题--带有三元函数的广义半均衡问题.借助于辅助原理法提出了求解此类问题的一个三步预测-校正迭代法,并分析了算法的收敛性.
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| 关 键 词： | 广义半均衡问题 联合η-g-伪单调性 辅助原理 三步预测-校正迭代法 收敛性 Generalized hemiequilibrium problem Jointly η-g-pseudomonotonicity Auxiliary principle Three-step predictor-corrector iterative method Convergence 求解 三元 函数 均衡问题 预测校正法 Problems Generalized iterative method analyze convergence algorithm auxiliary principle technique known generalized class equilibrium problems 算法的收敛性 分析 迭代法 |
| 文章编号： | 1001-9847(2008)01-0038-06 |
| 修稿时间： | 2006年12月11 |
Predictor-Corrector Method for Generalized Hemiequilibrium Problems with Trifunction |
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| FAN Li-ya,LIU Qing-min.Predictor-Corrector Method for Generalized Hemiequilibrium Problems with Trifunction[J].Mathematica Applicata,2008,21(1):38-43. |
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| Authors: | FAN Li-ya LIU Qing-min |
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| Abstract: | We introduce a new class of equilibrium problems,known as generalized hemiequilibrium problems with trifunction.Using the auxiliary principle technique,we suggest a three-step predictor-corrector iterative method for solving this class problems and analyze the convergence of the algorithm. |
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| Keywords: | Generalized hemiequilibrium problem Jointly η-g-pseudomonotonicity Auxiliary principle Three-step predictor-corrector iterative method Convergence |
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