# Category:Definitions/Inflationary Mappings

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

Let $\struct {S, \preceq}$ be an ordered set.

Let $\phi: S \to S$ be a mapping.

Then $\phi$ is inflationary if and only if:

$\forall s \in S: s \preceq \map \phi s$

## Also known as

An inflationary mapping is also known as a progressive mapping or progressing mapping.

Some sources use progressing function.

## Pages in category "Definitions/Inflationary Mappings"

The following 6 pages are in this category, out of 6 total.