Remarks of Equivalence among Picard, Mann, and Ishikawa Iterations in Normed Spaces

We show that the convergence of Picard iteration is equivalent to the convergence of Mann iteration schemes for various Zamfirescu operators. Our result extends of Soltuz (2005).

Bibliographic Details
Main Author: Xue Zhiqun
Format: Article
Language:English
Published: SpringerOpen 2007-08-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2007/61434