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Cited article:

Recent results on iteration theory: iteration groups and semigroups in the real case

Marek Cezary Zdun and Paweł Solarz
Aequationes mathematicae 87 (3) 201 (2014)
https://doi.org/10.1007/s00010-013-0186-x

General theorem for the existence of iterative roots of homeomorphisms with periodic points

Paweł Solarz
Journal of Mathematical Analysis and Applications 394 (1) 391 (2012)
https://doi.org/10.1016/j.jmaa.2012.03.048