求解一类非线性算子方程组的扰动迭代序列的稳定性  

Stability of Perturbed Iterative Sequence for Solving a System of Nonlinear Operator Equations

作　　者：刘自山[1] 

机构地区：[1]四川理工学院数学系,四川自贡643000

出　　处：《四川理工学院学报（自然科学版）》2007年第3期30-33,共4页Journal of Sichuan University of Science & Engineering(Natural Science Edition)

基　　金：四川理工学院科研项目(2006ZR003)

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。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{（xn, yn）}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].

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 

分 类 号：O177.91[理学—数学]