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Randomization of Sharkovsky-type results on the circle
Preview AbstractTwo 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.