文章基本信息

标题：An Iteration Scheme for Contraction Mappings with an Application to Synchronization of Discrete Logistic Maps
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作者：Ke Ding ; Jong Kyu Kim ; Qiang Lu 等
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2017
卷号：2017
DOI：10.1155/2017/5156314
出版社：Hindawi Publishing Corporation
摘要：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.