Fixed-point theorem

en

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Fixed-point theorem

Quality:

Fixed-point theorem - one of several theorems stating that, under certain conditions, a function f will have an argument x for which f(x) = x. Article “Fixed-point theorem” in English Wikipedia has 24.5 points for quality (as of July 1, 2025). The article contains 11 references and 7 sections.

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

Since the creation of article “Fixed-point theorem”, its content was written by 76 registered users of English Wikipedia and edited by 255 registered Wikipedia users in all languages.

The article is cited 70 times in English Wikipedia and cited 398 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #61330 in February 2005
  • Global: #51273 in September 2012

The highest popularity rank from 2008:

  • Local (English): #213535 in November 2021
  • Global: #213643 in November 2021

There are 14 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
1German (de)
Fixpunktsatz
28.868
2Turkish (tr)
Sabit nokta teoremi
25.0824
3English (en)
Fixed-point theorem
24.5203
4Arabic (ar)
مبرهنة النقطة الثابتة
16.6098
5Czech (cs)
Věta o pevném bodě
15.054
6Japanese (ja)
不動点定理
15.0029
7Chinese (zh)
不动点定理
14.6404
8Italian (it)
Teoremi di punto fisso
9.0369
9French (fr)
Liste de théorèmes du point fixe
8.7509
10Polish (pl)
Twierdzenie o punkcie stałym
8.0984
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 "Fixed-point theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Fixed-point theorem
363 869
2French (fr)
Liste de théorèmes du point fixe
234 016
3Japanese (ja)
不動点定理
118 196
4Chinese (zh)
不动点定理
91 047
5German (de)
Fixpunktsatz
79 641
6Spanish (es)
Teorema del punto fijo
73 359
7Italian (it)
Teoremi di punto fisso
50 596
8Persian (fa)
قضیه نقطه ثابت
33 484
9Polish (pl)
Twierdzenie o punkcie stałym
33 230
10Turkish (tr)
Sabit nokta teoremi
9 212
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 "Fixed-point theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Fixed-point theorem
3 345
2Japanese (ja)
不動点定理
694
3French (fr)
Liste de théorèmes du point fixe
640
4Chinese (zh)
不动点定理
285
5Italian (it)
Teoremi di punto fisso
182
6German (de)
Fixpunktsatz
170
7Persian (fa)
قضیه نقطه ثابت
60
8Polish (pl)
Twierdzenie o punkcie stałym
55
9Turkish (tr)
Sabit nokta teoremi
55
10Spanish (es)
Teorema del punto fijo
45
More...

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

The highest AI

Language versions of the article "Fixed-point theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Fixed-point theorem
76
2French (fr)
Liste de théorèmes du point fixe
37
3Italian (it)
Teoremi di punto fisso
30
4German (de)
Fixpunktsatz
28
5Persian (fa)
قضیه نقطه ثابت
16
6Japanese (ja)
不動点定理
16
7Turkish (tr)
Sabit nokta teoremi
12
8Chinese (zh)
不动点定理
11
9Spanish (es)
Teorema del punto fijo
8
10Polish (pl)
Twierdzenie o punkcie stałym
8
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 "Fixed-point theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Arabic (ar)
مبرهنة النقطة الثابتة
0
2Catalan (ca)
Teorema del punt fix
0
3Czech (cs)
Věta o pevném bodě
0
4German (de)
Fixpunktsatz
0
5English (en)
Fixed-point theorem
0
6Spanish (es)
Teorema del punto fijo
0
7Persian (fa)
قضیه نقطه ثابت
0
8French (fr)
Liste de théorèmes du point fixe
0
9Italian (it)
Teoremi di punto fisso
0
10Japanese (ja)
不動点定理
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 "Fixed-point theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Italian (it)
Teoremi di punto fisso
165
2English (en)
Fixed-point theorem
70
3French (fr)
Liste de théorèmes du point fixe
34
4Japanese (ja)
不動点定理
32
5German (de)
Fixpunktsatz
26
6Chinese (zh)
不动点定理
16
7Spanish (es)
Teorema del punto fijo
13
8Persian (fa)
قضیه نقطه ثابت
11
9Catalan (ca)
Teorema del punt fix
10
10Polish (pl)
Twierdzenie o punkcie stałym
8
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
arArabic
مبرهنة النقطة الثابتة
caCatalan
Teorema del punt fix
csCzech
Věta o pevném bodě
deGerman
Fixpunktsatz
enEnglish
Fixed-point theorem
esSpanish
Teorema del punto fijo
faPersian
قضیه نقطه ثابت
frFrench
Liste de théorèmes du point fixe
itItalian
Teoremi di punto fisso
jaJapanese
不動点定理
plPolish
Twierdzenie o punkcie stałym
simpleSimple English
Fixed-point theorem
trTurkish
Sabit nokta teoremi
zhChinese
不动点定理

Popularity rank trends

Best Rank English:
#213535
11.2021
Global:
#213643
11.2021

AI rank trends

Best Rank English:
#61330
02.2005
Global:
#51273
09.2012

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Fixed-point theorem from Wikipedia articles about Brouwer fixed-point theorem, Fixed point, Hairy ball theorem, Banach fixed-point theorem and Schauder fixed point theorem. Whereas reading the article about Fixed-point theorem people most often go to Wikipedia articles on Banach fixed-point theorem, Brouwer fixed-point theorem, Contraction mapping, Kakutani fixed-point theorem and Browder fixed point theorem.

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