| 求解一类非线性算子方程组的扰动迭代序列的稳定性 |
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| 引用本文： | 刘自山.求解一类非线性算子方程组的扰动迭代序列的稳定性[J].四川理工学院学报(自然科学版),2007,20(3):30-33. |
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| 作者姓名： | 刘自山 |
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| 作者单位： | 四川理工学院数学系,四川,自贡,643000 |
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| 基金项目： | 四川理工学院校科研和教改项目 |
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| 摘 要： | 利用Huang和Fang提出的广义m-增生映象的预解算子技巧,文章构造了一种新的扰动迭代算法2.1,并讨论了迭代算法2.1产生的序列{(x_n,y_n)},关于Banach空间中一类关联于广义m-增生映象的广义预解算子方程组(1.1)的解的收敛性和稳定性。主要结果定理2.1改善并推广了文献1-3]的相应结果。
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| 关 键 词： | 广义m-增生映象 非算子方程组 扰动迭代序列 收敛性 稳定性 |
| 文章编号： | 1673-1549（2007）03-0030-04 |
| 收稿时间： | 2006-10-30 |
| 修稿时间： | 2006-10-30 |
Stability of Perturbed Iterative Sequence for Solving a System of Nonlinear Operator Equations |
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| LIU Zi-shan.Stability of Perturbed Iterative Sequence for Solving a System of Nonlinear Operator Equations[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2007,20(3):30-33. |
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| Authors: | LIU Zi-shan |
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| Abstract: | By using the resolvent operator technique for generalized m -accretive mapping due to Huang and Fang, we construct a new perturbed iterative algorithm 2.1, discuss the convergence and stability of the sequence{(x_n,y_n)}generalted by the iterative algorithm 2.1, which is used for solving a system of nonlinear operator equations associated generalized m -accretive mappings in Banach spaces. The main results in Theoem 2.1 improve and generalize the corresponding results of 1-3]. |
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| Keywords: | generalized m -accretive mapping nonlinear operator equation system perturbed iterativealgorithm convergence stability |
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