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Randomization of Sharkovsky-type results on the circle

Jan Andres

Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science, Palacký University, 17. Listopadu 12, 771 46 Olomouc, Czech Republic

E-mail Address: jan.andres@upol.cz

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https://doi.org/10.1142/S0219493717500174Cited by:7 (Source: Crossref)

Abstract

Two deterministic Sharkovsky-type theorems on the circle due to L. Block [Proc. Amer. Math. Soc.82 (1981) 481–486] and X. Zhao [Fixed Point Theory Appl., Article ID 194875 (2008)] are randomized. The randomization of Block’s theorem brings an additional information about the forcing alternatives. Some further possibilities of the randomized Zhao’s theorem are discussed for multivalued maps.

Keywords:

AMSC: Primary 37E10, Primary 37E15, Primary 47B80, Primary 47H40, Secondary 37H10, Secondary 37C25, Secondary 47H10, Secondary 60H25

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