Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators

In the class of quasi-contractive operators satisfying Zamfirescu's conditions, the most used fixed point iterative methods, that is, the Picard, Mann, and Ishikawa iterations, are all known to be convergent to the unique fixed point. In this paper, the comparison of the first two methods with...

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Bibliographic Details
Main Author: Vasile Berinde
Format: Article
Language:English
Published: SpringerOpen 2004-06-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/S1687182004311058