Banach fixed-point theorem

en

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Banach fixed-point theorem

Quality:

Banach fixed-point theorem - theorem about metric spaces. Article "Banach fixed-point theorem" in English Wikipedia has 26.8 points for quality (as of July 1, 2025). The article contains 11 references and 9 sections.

This article has the best quality in Polish Wikipedia. However, this article is the most popular in English version.

Since the creation of article "Banach fixed-point theorem", its content was written by 103 registered users of English Wikipedia and edited by 449 registered Wikipedia users in all languages.

The article is cited 188 times in English Wikipedia and cited 621 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #2475 in March 2002
  • Global: #2879 in March 2002

The highest popularity rank from 2008:

  • Local (English): #61507 in August 2020
  • Global: #93292 in August 2020

There are 24 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1Polish (pl)
Twierdzenie Banacha o kontrakcji
36.5204
2Korean (ko)
바나흐 고정점 정리
28.2416
3English (en)
Banach fixed-point theorem
26.829
4German (de)
Fixpunktsatz von Banach
21.8212
5Indonesian (id)
Teorema titik tetap Banach
16.8651
6Italian (it)
Teorema di Banach-Caccioppoli
13.6383
7Turkish (tr)
Banach sabit nokta teoremi
12.4187
8Chinese (zh)
巴拿赫不动点定理
12.3272
9Japanese (ja)
バナッハの不動点定理
11.6159
10Slovak (sk)
Banachova veta o pevnom bode
11.3224
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Banach fixed-point theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Banach fixed-point theorem
1 134 085
2German (de)
Fixpunktsatz von Banach
479 630
3Italian (it)
Teorema di Banach-Caccioppoli
124 699
4Spanish (es)
Teorema del punto fijo de Banach
109 710
5Russian (ru)
Теорема Банаха о неподвижной точке
103 252
6Polish (pl)
Twierdzenie Banacha o kontrakcji
96 772
7Chinese (zh)
巴拿赫不动点定理
73 901
8Japanese (ja)
バナッハの不動点定理
49 795
9Portuguese (pt)
Teorema do ponto fixo de Banach
36 780
10Hebrew (he)
משפט נקודת השבת של בנך
25 926
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Banach fixed-point theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Banach fixed-point theorem
5 621
2German (de)
Fixpunktsatz von Banach
1 137
3Russian (ru)
Теорема Банаха о неподвижной точке
611
4Italian (it)
Teorema di Banach-Caccioppoli
469
5Chinese (zh)
巴拿赫不动点定理
387
6Spanish (es)
Teorema del punto fijo de Banach
374
7Polish (pl)
Twierdzenie Banacha o kontrakcji
343
8Japanese (ja)
バナッハの不動点定理
313
9Portuguese (pt)
Teorema do ponto fixo de Banach
134
10Korean (ko)
바나흐 고정점 정리
122
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Banach fixed-point theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Banach fixed-point theorem
103
2German (de)
Fixpunktsatz von Banach
77
3Italian (it)
Teorema di Banach-Caccioppoli
42
4Russian (ru)
Теорема Банаха о неподвижной точке
36
5Polish (pl)
Twierdzenie Banacha o kontrakcji
24
6Dutch (nl)
Contractiestelling van Banach
21
7Spanish (es)
Teorema del punto fijo de Banach
20
8Hebrew (he)
משפט נקודת השבת של בנך
19
9Hungarian (hu)
Banach fixponttétele
19
10Ukrainian (uk)
Теорема Банаха про нерухому точку
13
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Banach fixed-point theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Italian (it)
Teorema di Banach-Caccioppoli
2
2Swedish (sv)
Banachs fixpunktssats
1
3Catalan (ca)
Teorema del punt fix de Banach
0
4Czech (cs)
Banachova věta o pevném bodě
0
5German (de)
Fixpunktsatz von Banach
0
6English (en)
Banach fixed-point theorem
0
7Spanish (es)
Teorema del punto fijo de Banach
0
8Persian (fa)
نظریه نقطه ثابت باناخ
0
9Finnish (fi)
Banachin kiintopistelause
0
10Hebrew (he)
משפט נקודת השבת של בנך
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Banach fixed-point theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Banach fixed-point theorem
188
2Chinese (zh)
巴拿赫不动点定理
112
3Polish (pl)
Twierdzenie Banacha o kontrakcji
50
4Korean (ko)
바나흐 고정점 정리
43
5Ukrainian (uk)
Теорема Банаха про нерухому точку
41
6German (de)
Fixpunktsatz von Banach
29
7Italian (it)
Teorema di Banach-Caccioppoli
21
8Japanese (ja)
バナッハの不動点定理
20
9Russian (ru)
Теорема Банаха о неподвижной точке
17
10Spanish (es)
Teorema del punto fijo de Banach
16
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
Teorema del punt fix de Banach
csCzech
Banachova věta o pevném bodě
deGerman
Fixpunktsatz von Banach
enEnglish
Banach fixed-point theorem
esSpanish
Teorema del punto fijo de Banach
faPersian
نظریه نقطه ثابت باناخ
fiFinnish
Banachin kiintopistelause
heHebrew
משפט נקודת השבת של בנך
huHungarian
Banach fixponttétele
idIndonesian
Teorema titik tetap Banach
itItalian
Teorema di Banach-Caccioppoli
jaJapanese
バナッハの不動点定理
koKorean
바나흐 고정점 정리
nlDutch
Contractiestelling van Banach
plPolish
Twierdzenie Banacha o kontrakcji
ptPortuguese
Teorema do ponto fixo de Banach
roRomanian
Principiul contracției
ruRussian
Теорема Банаха о неподвижной точке
skSlovak
Banachova veta o pevnom bode
srSerbian
Банахова теорема о непокретној тачки
svSwedish
Banachs fixpunktssats
trTurkish
Banach sabit nokta teoremi
ukUkrainian
Теорема Банаха про нерухому точку
zhChinese
巴拿赫不动点定理

Popularity rank trends

Best Rank English:
#61507
08.2020
Global:
#93292
08.2020

AI rank trends

Best Rank English:
#2475
03.2002
Global:
#2879
03.2002

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Banach fixed-point theorem from Wikipedia articles about Fixed-point theorem, Picard–Lindelöf theorem, Fixed-point iteration, Contraction mapping and Lipschitz function. Whereas reading the article about Banach fixed-point theorem people most often go to Wikipedia articles on Contraction mapping, Fixed-point iteration, Stefan Banach, Picard–Lindelöf theorem and Complete metric space.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

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About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information