An Iteration Scheme for Contraction Mappings with an Application to Synchronization of Discrete Logistic Maps

An Iteration Scheme for Contraction Mappings with an Application to Synchronization of Discrete Logistic Maps

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This paper deals with designing a new iteration scheme associated with a given scheme for contraction mappings.This new scheme bicycles 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 Baby Tee 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.