Definition:Iterated Mapping

Definition

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.

Also known as

An iterated mapping is also known as an iterated map.

Also see

• Results about iterated mappings can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): iterated map
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): iterated map