Geodesic
Variants of shadowing properties for iterated function systems on uniform spaces
Filomat, Tome 35 (2021) no. 8, p. 2565

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DOI

In this paper, the notions of topological shadowing, topological ergodic shadowing, topological chain transitivity and topological chain mixing are introduced and studied for an iterated function system (IFS) on uniform spaces. It is proved that if an IFS has topological shadowing property and is topological chain mixing, then it has topological ergodic shadowing and it is topological mixing. Moreover, if an IFS has topological shadowing property and is topological chain transitive, then it is topologically ergodic and hence topologically transitive. Also, these notions are studied for the product IFS on uniform spaces
DOI : 10.2298/FIL2108565V
Classification : 37B05, 37B02
Keywords: Iterated function system, uniform space, topological shadowing, topological transitivity 
Radhika Vasisht; Mohammad Salman; Ruchi Das. Variants of shadowing properties for iterated function systems on uniform spaces. Filomat, Tome 35 (2021) no. 8, p. 2565 . doi: 10.2298/FIL2108565V
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     title = {Variants of shadowing properties for iterated function systems on uniform spaces},
     journal = {Filomat},
     pages = {2565 },
     year = {2021},
     volume = {35},
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     doi = {10.2298/FIL2108565V},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2108565V/}
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