迭代法求解增生算子挠动方程

ITERATIVE METHODS TO RESOLVE PERTURBED EQUATIONSOF ACCRETIVE OPERATORS

研究了求解增生算子挠动方程这一问题,通过改进已有的Ishikawa迭代,构造了一种新的迭代方法,利用该方法给出了增生算子紧挠动方程解的一种迭代逼近。本文的其他结果还统一和推广了Chidume、Tan&Xu的相应结果。

This paper investigates how to resolve perturbed equations of accretive operators and obtains an iterative method that can get solutions of the equations involving compact perturbations of accretive eperators.The results partly answer the above problem.Other results are obtained which unify and generalize the corresponding ones of Chidume and Tan&Xu.