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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
Class type of: theorem Q1422068

Facts

5 properties
Instance of
theorem, Wikimedia disambiguation page[2]
Subclass of
theorem[3]
Maintained by WikiProject
WikiProject Mathematics[6]
Statement describes
fixed point[4]
Studied by
category theory[5]
🏷️ Also known as
en fixed-point theorem ar مبرهنة النقطة الثابتة cs věta o pevném bodě cs věta o pevném bodu de Fixpunktsatz es teorema del punto fijo es teoremas de punto fijo fa تکرار ساده fa قضیه نقطه ثابت fa قضیهٔ نقطهٔ ثابت fa نظریه نقطه ثابت fr théorème de point fixe fr théorèmes de point fixe it teorema di punto fisso it teoremi di punto fisso ja 不動点定理 pl teoria punktu stałego pl twierdzenie o punkcie stałym pl Twierdzenie o punkcie stałym pt teorema de ponto fixo
🔖 Identifiers · 9
OpenAlex ID
C45962547
BNCF Thesaurus ID
26675
Encyclopædia Britannica Online ID
topic/fixed-point-theorem
Freebase ID
/m/03z1_9
Mathematics Subject Classification ID
35R35
Microsoft Academic ID (discontinued)
45962547
National Library of Latvia ID
000355295
Online PWN Encyclopedia ID
3990315
Topic's main category
Category:Fixed-point theorems

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🔗 Connections
Examples 11
Banach fixed-point theorem, Brouwer fixed-point theorem, Kakutani fixed-point theorem, Knaster–Tarski theorem, Lefschetz fixed-point theorem, Schauder fixed point theorem, Kleene fixed-point theorem, Caristi fixed-point theorem +3 more
Instance of 1
theorem
Maintained by WikiProject 1
WikiProject Mathematics
Statement describes 1
fixed point
Studied by 1
category theory
Subclass of 1
theorem
Topic's main category 1
Category:Fixed-point theorems
← Category's main topic 1
Category:Fixed-point theorems
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Summary

fixed-point theorem is a theorem[1].

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

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APA 4ort.xyz Knowledge Graph. (2026). fixed-point theorem. Retrieved November 6, 2026, from https://4ort.xyz/entity/fixed-point-theorem
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BibTeX @misc{4ortxyz_fixed-point-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{fixed-point theorem}}, year = {2026}, url = {https://4ort.xyz/entity/fixed-point-theorem}, note = {Accessed: 2026-11-06}}
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