Abstract and Applied Analysis
Volume 1 (1996), Issue 4, Pages 341-349
doi:10.1155/S1085337596000188
On the Mann and Ishikawa iteration processes
Haiyun Zhou1
and Yuting Jia2
1Department of Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, China
2Department of Mathematics, Hebei Teachers University, Shijiazhuang 050016, China
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.