Two-Sided Limit Shadowing Property on Iterated Function Systems

M. Mohtashamipour, A. Zamani Bahabadi

In this article, we introduce the two-sided limit shadowing property on an iterated function system $(IFS)$ and attain some results such as totally transitivity, and shadowing property. Also, by means of the strong shadowing property, we achieve topologically mixing for this $IFS$. Then, we study the strong two-sided limit shadowing property and obtain the topologically mixing property, immediately. Moreover, we find a criterion to obtain the two-sided limit shadowing property.