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

<p/> <p>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).</p>

Bibliographic Details
Main Author: Zhiqun Xue
Format: Article
Language:English
Published: SpringerOpen 2007-01-01
Series:Fixed Point Theory and Applications
Online Access:http://www.fixedpointtheoryandapplications.com/content/2007/061434
Description
Summary:<p/> <p>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).</p>
ISSN:1687-1820
1687-1812