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

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].