Geodesic
Two-Sided Limit Shadowing Property on Iterated Function Systems
Kragujevac Journal of Mathematics, Tome 44 (2020) no. 1, p. 113

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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.
Classification : 37B05 54H20
Keywords: iterated function system, two-sided limit shadowing property, totally transitive, topologically mixing, skew product 
@article{KJM_2020_44_1_a7,
     author = {M. Mohtashamipour and A. Zamani Bahabadi},
     title = {Two-Sided {Limit} {Shadowing} {Property} on {Iterated} {Function} {Systems}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {113 },
     publisher = {mathdoc},
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     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2020_44_1_a7/}
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M. Mohtashamipour; A. Zamani Bahabadi. Two-Sided Limit Shadowing Property on Iterated Function Systems. Kragujevac Journal of Mathematics, Tome 44 (2020) no. 1, p. 113 . http://geodesic.mathdoc.fr/item/KJM_2020_44_1_a7/