Resumen de The Chain Properties and Average Shadowing Property of Iterated Function Systems

Xinxing Wu, Lidong Wang, Jianhua Liang

• This note proves that an iterated function system is chain transitive (resp., chain mixing, transitive) if and only if the step skew product corresponding to the iterated function system is chain transitive (resp., chain mixing, transitive). As an application, it is obtained that an iterated function system with the (asymptotic) average shadowing property is chain mixing, improving the main results in Bahabadi (Georgian Math J 22:179–184, 2015).