Category:Definitions/Iterated Mappings

This category contains definitions related to Iterated Mappings.
Related results can be found in Category:Iterated Mappings.

Let $f: S \to S$ be a self-map.

Let an iteration be associated with $f$ thus:

$x_{n + 1} = \map f {x_n}$

for $n = 0, 1, 2, \ldots$

Then $f$ is an iterated mapping.