Fixed point of a new three-step iteration algorithm under contractive-like operators over normed spaces
type: Item
instance of: scholarly article
title: Fixed point of a new three-step iteration algorithm under contractive-like operators over normed spaces
zbMATH Open document ID: 1364.47026
DOI: 10.1155/2013/560258
author: Vatan Karakaya
author: Kadri Doğan
author: Faik Gürsoy
author: Müzeyyen Ertürk
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: We introduce a new three-step iteration scheme and prove that this new iteration scheme is convergent to fixed points of contractive-like operators. Also, by providing an example, we show that our new iteration method is faster than another iteration method due to \textit{S. Suantai} [J. Math. Anal. Appl. 311, No. 2, 506--517 (2005; Zbl 1086.47057)]. Furthermore, it is shown that this new iteration method is equivalent to some other iteration methods in the sense of convergence. Finally, it is proved that this new iteration method is \(T\)-stable.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 65J15
zbMATH DE Number: 6307002
zbMATH Keywords: speed of convergence
zbMATH Keywords: new three-step iteration
zbMATH Keywords: contractive-like operators
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/560258
OpenAlex ID: W2073846462
Wikidata QID: Q58917120
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description: scientific article; zbMATH DE number 6307002