| 含极大η-单调算子的广义非线性混合似变分包含组的扰动算法和稳定性 |
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| 引用本文： | 叶志强,邓磊.含极大η-单调算子的广义非线性混合似变分包含组的扰动算法和稳定性[J].应用泛函分析学报,2007,9(3):204-211. |
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| 作者姓名： | 叶志强 邓磊 |
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| 作者单位： | 1. 重庆师范大学,初等教育学院,重庆,400700;西南大学,数学与统计学院,重庆,400715
2. 西南大学,数学与统计学院,重庆,400715 |
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| 摘 要： | 研究了一类含极大η-单调算子的广义非线性混合似变分包含组.依据不动点理论和极大η-单调算子的预解算子技巧,在Hilbert空间中提出了一种求这类变分不等式组的逼近解的扰动迭代算法,并证明了这类算法的收敛性和稳定性.所得结果是新的,并推广和统一了近期文献中的一些相关结论.
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| 关 键 词： | 广义非线性混合似变分包含组 极大η-单调算子 预解算子 扰动算法 稳定性 maximal η-monotone mappings |
| 文章编号： | 1009-1327（2007）03-0204-08 |
| 修稿时间： | 2006-06-26 |
Perturbed Algorithm and Stability for Generalized Nonlinear Mixed Variational-like Inclusions Involving Maximal η-monotone Mappings |
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| YE Zhi-qiang,DENG Lei.Perturbed Algorithm and Stability for Generalized Nonlinear Mixed Variational-like Inclusions Involving Maximal η-monotone Mappings[J].Acta Analysis Functionalis Applicata,2007,9(3):204-211. |
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| Authors: | YE Zhi-qiang DENG Lei |
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| Institution: | 1. Elementary Education College, Chongqing Normal University, Chongqing 400700, China; 2. School of Mathematics and Statistics, Southwest University, Chongqing 400715, China |
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| Abstract: | We study a system of generalized nonlinear mixed variational-like inclusions involving maximal η-monotone mappings. By using resolvent operator technique for maximal η-maximal monotone mappings, we discuss the convergence and stability of a new perturbed iterative algorithm for approximating the solution. Our results improve and generalize some known corresponding algorithms and results. |
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| Keywords: | generalized nonlinear mixed variational-like inclusions resolvent operator perturbed algorithm stability |
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