Definition:Increasing Mapping/Also known as

Increasing Mapping: Also known as
An increasing mapping is also known as isotone or non-decreasing.

In contexts where the ordering in question is more general than in the context of numbers, the term order-preserving mapping is often more appropriate than increasing mapping.

Some authors refer to this concept as a monotone mapping, but that term has a different meaning on ProofWiki.

Beware that some authors who use the term order-preserving mapping use it to define what on is referred to as an order embedding.