Banach fixed-point theorem
id:
banach-fixed-point-theorem-178-8211888
title:
Banach fixed-point theorem
text:
In mathematics, the Banach fixed-point theorem is an important tool in the theory of metric spaces; it guarantees the existence and uniqueness of fixed points of certain self-maps of metric spaces and provides a constructive method to find those fixed points. It can be understood as an abstract formulation of Picard's method of successive approximations. The theorem is named after Stefan Banach (1892–1945) who first stated it in 1922.
brand slug:
wiki
category slug:
encyclopedia
description:
Theorem about metric spaces
original url:
https://en.wikipedia.org/wiki/Banach_fixed-point_theorem
date created:
2002-03-30T03:09:25Z
date modified:
2024-09-04T14:27:38Z
main entity:
{"identifier":"Q220680","url":"https://www.wikidata.org/entity/Q220680"}
image:
fields total:
13
integrity:
15