Abstract and Applied Analysis 
Volume 1 (1996), Issue 4, Pages 341-349
doi:10.1155/S1085337596000188

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

Abstract

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.