An iteration scheme for contraction mappings with an application to synchronization of discrete logistic maps
type: Item
instance of: scholarly article
title: An iteration scheme for contraction mappings with an application to synchronization of discrete logistic maps
zbMATH Open document ID: 1401.65055
DOI: 10.1155/2017/5156314
author: Ke Ding
author: J. K. Kim
author: Qiang Lu
author: Bin Du
published in: Discrete Dynamics in Nature and Society
publication date: 2018-09-27T00:00:00Z
review text: Summary: This paper deals with designing a new iteration scheme associated with a given scheme for contraction mappings. This new scheme has a similar structure to that of the given scheme, in which those two iterative schemes converge to the same fixed point of the given contraction mapping. The positive influence of feedback parameters on the convergence rate of this new scheme is investigated. Moreover, the derived convergence and comparison results can be extended to nonexpansive mappings. As an application, the derived results are utilized to study the synchronization of logistic maps. Two illustrated examples are used to reveal the effectiveness of our results.
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 47J25
zbMATH DE Number: 6944826
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/5156314
OpenAlex ID: W2767650051
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description: scientific article; zbMATH DE number 6944826