The Comparison of the Convergence Speed between Picard, Mann, Krasnoselskij and Ishikawa Iterations in Banach Spaces

<p/> <p>The purpose of this paper is to compare convergence speed of the Picard and Mann iterations on one hand, Krasnoselskij and Ishikawa iterations on the other hand, for the class of Zamfirescu operators. The results improve corresponding results of (Berinde 2004) and (Babu and Vara...

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Main Author:	Xue Zhiqun
Format:	Article
Language:	English
Published:	SpringerOpen 2008-01-01
Series:	Fixed Point Theory and Applications
Online Access:	http://www.fixedpointtheoryandapplications.com/content/2008/387056

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spelling	doaj-c99cd7d168644908babbfa3c88081f452020-11-24T23:51:19ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122008-01-0120081387056The Comparison of the Convergence Speed between Picard, Mann, Krasnoselskij and Ishikawa Iterations in Banach SpacesXue Zhiqun<p/> <p>The purpose of this paper is to compare convergence speed of the Picard and Mann iterations on one hand, Krasnoselskij and Ishikawa iterations on the other hand, for the class of Zamfirescu operators. The results improve corresponding results of (Berinde 2004) and (Babu and Vara Prasad 2006).</p>http://www.fixedpointtheoryandapplications.com/content/2008/387056
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Xue Zhiqun
spellingShingle	Xue Zhiqun The Comparison of the Convergence Speed between Picard, Mann, Krasnoselskij and Ishikawa Iterations in Banach Spaces Fixed Point Theory and Applications
author_facet	Xue Zhiqun
author_sort	Xue Zhiqun
title	The Comparison of the Convergence Speed between Picard, Mann, Krasnoselskij and Ishikawa Iterations in Banach Spaces
title_short	The Comparison of the Convergence Speed between Picard, Mann, Krasnoselskij and Ishikawa Iterations in Banach Spaces
title_full	The Comparison of the Convergence Speed between Picard, Mann, Krasnoselskij and Ishikawa Iterations in Banach Spaces
title_fullStr	The Comparison of the Convergence Speed between Picard, Mann, Krasnoselskij and Ishikawa Iterations in Banach Spaces
title_full_unstemmed	The Comparison of the Convergence Speed between Picard, Mann, Krasnoselskij and Ishikawa Iterations in Banach Spaces
title_sort	comparison of the convergence speed between picard, mann, krasnoselskij and ishikawa iterations in banach spaces
publisher	SpringerOpen
series	Fixed Point Theory and Applications
issn	1687-1820 1687-1812
publishDate	2008-01-01
description	<p/> <p>The purpose of this paper is to compare convergence speed of the Picard and Mann iterations on one hand, Krasnoselskij and Ishikawa iterations on the other hand, for the class of Zamfirescu operators. The results improve corresponding results of (Berinde 2004) and (Babu and Vara Prasad 2006).</p>
url	http://www.fixedpointtheoryandapplications.com/content/2008/387056
work_keys_str_mv	AT xuezhiqun thecomparisonoftheconvergencespeedbetweenpicardmannkrasnoselskijandishikawaiterationsinbanachspaces AT xuezhiqun comparisonoftheconvergencespeedbetweenpicardmannkrasnoselskijandishikawaiterationsinbanachspaces
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The Comparison of the Convergence Speed between Picard, Mann, Krasnoselskij and Ishikawa Iterations in Banach Spaces

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