---
tag: 0QN69YA357
kind: concept
name: Contraction mapping
aliases: [contraction, contraction-map]
msc: [47H09]
sources:
  - url: https://en.wikipedia.org/wiki/Contraction_mapping
    locator: lead section
same_as:
  wikidata: Q515173
  wikipedia: Contraction mapping
---

## Summary

A contraction mapping is a map from a metric space to itself that shrinks all distances by at least a fixed factor less than one.