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periodic point of

Let a continuum

and a mapping $f: X \to X$$ be given. For each natural number

denote by

the

-th iteration of

. A point $p \in X$$ is called a periodic point of

provided that there is $n \in \mathbb{N}$$ such that

The set of periodic points of a mapping $f: X \to X$$ are denoted by

Next: periodic-recurrent property Up: Definitions Previous: ordinary point

Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30