# Category:Definitions/Inflationary Mappings

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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.