迭代法求解增生算子扰动方程

The Iterative Method of Solving Perturbed Equations of Accretive Operators

主要研究了用迭代法求解增生算子紧扰动方程 .在改造已有的 Ishikawa迭代的基础上 ,利用改造后的迭代法给出了增生算子紧扰动方程 Tx+ Cx=f的解的一种迭代逼近 ,从而为寻求此类方程的解提供了一种新途径 .此外还研究了一般扰动元情形 ,所得结果统一并推广了 Chidume,Tan和

An iterative method is designed to advance the Ishikawa iteration and solve perturbed equations of accretive operators. Obtaining an iterative approximation for the solution to the perturbed equation Tx+Cx=f, the proposed method provides a new way to solve such kind of equators. The results of the study can unify and generalize the corresponding conclusions of Chidume, Tan and Xu.