Fixed point (mathematics)

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Fixed point (mathematics)

Quality:

Fixed point - point that is left unchanged by a function. Article "Fixed point (mathematics)" in English Wikipedia has 32.6 points for quality (as of July 1, 2025). The article contains 12 references and 13 sections. The article also contains quality flaw template, which reduce quality score.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

Since the creation of article "Fixed point (mathematics)", its content was written by 123 registered users of English Wikipedia and edited by 583 registered Wikipedia users in all languages.

The article is cited 339 times in English Wikipedia and cited 2188 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #6750 in February 2004
  • Global: #9461 in November 2011

The highest popularity rank from 2008:

  • Local (English): #98216 in October 2014
  • Global: #84156 in January 2015

There are 34 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
1English (en)
Fixed point (mathematics)
32.5642
2Indonesian (id)
Titik tetap (matematika)
26.5077
3Arabic (ar)
نقطة ثابتة (رياضيات)
23.0491
4German (de)
Fixpunkt (Mathematik)
23.0105
5Kazakh (kk)
Қозғалмайтын нүкте
21.2875
6Korean (ko)
고정점
18.6387
7Romanian (ro)
Punct fix (matematică)
18.5001
8Hebrew (he)
נקודת שבת
17.5942
9Esperanto (eo)
Fiksa punkto (matematiko)
17.3125
10Slovenian (sl)
Negibna točka
17.0681
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 (mathematics)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Fixed point (mathematics)
1 425 634
2German (de)
Fixpunkt (Mathematik)
353 331
3French (fr)
Point fixe
273 436
4Spanish (es)
Punto fijo
190 153
5Japanese (ja)
不動点
170 368
6Italian (it)
Punto fisso
111 718
7Russian (ru)
Неподвижная точка
106 233
8Chinese (zh)
不动点
95 547
9Polish (pl)
Punkt stały
76 508
10Hebrew (he)
נקודת שבת
74 451
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 (mathematics)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Fixed point (mathematics)
4 488
2German (de)
Fixpunkt (Mathematik)
534
3Japanese (ja)
不動点
426
4Chinese (zh)
不动点
401
5Russian (ru)
Неподвижная точка
354
6French (fr)
Point fixe
282
7Italian (it)
Punto fisso
241
8Hebrew (he)
נקודת שבת
233
9Spanish (es)
Punto fijo
208
10Korean (ko)
고정점
183
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 (mathematics)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Fixed point (mathematics)
123
2German (de)
Fixpunkt (Mathematik)
73
3French (fr)
Point fixe
65
4Italian (it)
Punto fisso
46
5Dutch (nl)
Dekpunt
31
6Hebrew (he)
נקודת שבת
29
7Japanese (ja)
不動点
21
8Russian (ru)
Неподвижная точка
21
9Hungarian (hu)
Fixpont
17
10Polish (pl)
Punkt stały
17
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 (mathematics)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Fixpunkt (Mathematik)
1
2Estonian (et)
Püsipunkt
1
3Arabic (ar)
نقطة ثابتة (رياضيات)
0
4Catalan (ca)
Punt fix
0
5Czech (cs)
Pevný bod
0
6English (en)
Fixed point (mathematics)
0
7Esperanto (eo)
Fiksa punkto (matematiko)
0
8Spanish (es)
Punto fijo
0
9Persian (fa)
نقطه ثابت
0
10Finnish (fi)
Kiintopiste (matematiikka)
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 (mathematics)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Fixed point (mathematics)
339
2French (fr)
Point fixe
270
3German (de)
Fixpunkt (Mathematik)
153
4Polish (pl)
Punkt stały
150
5Japanese (ja)
不動点
143
6Chinese (zh)
不动点
138
7Italian (it)
Punto fisso
125
8Korean (ko)
고정점
106
9Arabic (ar)
نقطة ثابتة (رياضيات)
101
10Spanish (es)
Punto fijo
88
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
نقطة ثابتة (رياضيات)
caCatalan
Punt fix
csCzech
Pevný bod
deGerman
Fixpunkt (Mathematik)
enEnglish
Fixed point (mathematics)
eoEsperanto
Fiksa punkto (matematiko)
esSpanish
Punto fijo
etEstonian
Püsipunkt
faPersian
نقطه ثابت
fiFinnish
Kiintopiste (matematiikka)
frFrench
Point fixe
heHebrew
נקודת שבת
huHungarian
Fixpont
hyArmenian
Անշարժ կետ
idIndonesian
Titik tetap (matematika)
itItalian
Punto fisso
jaJapanese
不動点
kkKazakh
Қозғалмайтын нүкте
koKorean
고정점
nlDutch
Dekpunt
nnNorwegian (Nynorsk)
Fikspunkt
plPolish
Punkt stały
ptPortuguese
Ponto fixo
roRomanian
Punct fix (matematică)
ruRussian
Неподвижная точка
simpleSimple English
Fixed point
slSlovenian
Negibna točka
srSerbian
Непокретна тачка
svSwedish
Fixpunkt (matematik)
taTamil
நிலைத்த புள்ளி
ukUkrainian
Нерухома точка
urUrdu
مستقل نقطہ
viVietnamese
Điểm cố định (toán học)
zhChinese
不动点

Popularity rank trends

Best Rank English:
#98216
10.2014
Global:
#84156
01.2015

AI rank trends

Best Rank English:
#6750
02.2004
Global:
#9461
11.2011

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 Fixed point from Wikipedia articles about Fixed-point iteration, Fixed-point theorem, Fixed-point combinator, Banach fixed-point theorem and Fixed point. Whereas reading the article about Fixed point people most often go to Wikipedia articles on Fixed-point theorem, Banach fixed-point theorem, Fixed-point iteration, Fixed point and Brouwer 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):

simple: Fixed point

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In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

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