Abstract and Applied Analysis
Volume 1 (1996), Issue 4, Pages 341-349

On the Mann and Ishikawa iteration processes

Zhou Haiyun1 and Jia Yuting2

1Department of Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, China
2Department of Mathematics, Hebei Teachers University, Shijiazhuang 050016, China

Received 4 April 1996

Copyright © 1996 Zhou Haiyun and Jia Yuting. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


It is shown that a result of Chidume, involving the strong convergence of the Mann iteration process for continuous strongly accretive operators, is actually a corollary to a result by Nevanlinna and Reich. It is then shown that the Nevanlinna and Reich result can be extended to the case of an Ishikawa iteration process.