Banach fixed-point theorem

theorem about metric spaces
Thing fixed_point_theorem Q220680
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Banach fixed-point theorem

Summary

Banach fixed-point theorem is a fixed-point theorem[1]. It ranks in the top 7% of fixed_point_theorem entities by monthly Wikipedia readership (492 views/month).[2]

Key Facts

  • Banach fixed-point theorem is credited with the discovery of Stefan Banach[3].
  • Banach fixed-point theorem is credited with the discovery of Renato Caccioppoli[4].
  • Banach fixed-point theorem's instance of is recorded as fixed-point theorem[5].
  • Banach fixed-point theorem's instance of is recorded as theorem[6].
  • Stefan Banach is named after Banach fixed-point theorem[7].
  • Renato Caccioppoli is named after Banach fixed-point theorem[8].
  • Banach fixed-point theorem's part of is recorded as list of theorems[9].
  • Banach fixed-point theorem's Commons category is recorded as Banach fixed-point theorem[10].
  • Banach fixed-point theorem's time of discovery or invention is recorded as +1922-00-00T00:00:00Z[11].
  • Banach fixed-point theorem's Freebase ID is recorded as /m/0clr_[12].
  • Banach fixed-point theorem's studied by is recorded as topology[13].
  • Banach fixed-point theorem's maintained by WikiProject is recorded as WikiProject Mathematics[14].
  • Banach fixed-point theorem's Microsoft Academic ID is recorded as 2780549194[15].
  • Banach fixed-point theorem's Treccani's Enciclopedia della Matematica ID is recorded as teorema-di-banach-caccioppoli[16].
  • Banach fixed-point theorem's OpenAlex ID is recorded as C2780549194[17].

Body

Works and Contributions

Credited discoveries include Stefan Banach[3], a mathematician[18], 1892–1945[19], of Cisleithania[20], awarded the Order of the White Eagle[21], specialised in mathematics[22] and Renato Caccioppoli[4], a mathematician[23], 1904–1959[24], of Italy[25], specialised in mathematical analysis[26].

Why It Matters

Banach fixed-point theorem ranks in the top 7% of fixed_point_theorem entities by monthly Wikipedia readership (492 views/month).[2] It has Wikipedia articles in 21 language editions, a strong signal of global cultural recognition.[27] It is known by 11 alternative names across languages and contexts.[28]

References

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

Direct Wikidata claims

  1. [5] . wikidata.org.
  2. [6] . wikidata.org.
  3. [3] . wikidata.org.
  4. [4] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . Freebase Data Dumps. wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Inline context (facts about related entities)

  1. [18] . Wikidata. wikidata.org. → on this site
  2. [19] . Wikidata. wikidata.org. → on this site
  3. [20] . Wikidata. wikidata.org. → on this site
  4. [21] . Wikidata. wikidata.org. → on this site
  5. [22] . Wikidata. wikidata.org. → on this site
  6. [23] . Wikidata. wikidata.org. → on this site
  7. [24] . Wikidata. wikidata.org. → on this site
  8. [25] . Wikidata. wikidata.org. → on this site
  9. [26] . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [27] . Wikidata sitelinks. wikidata.org.
  3. [28] . Wikidata aliases. wikidata.org.

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APA 4ort.xyz Knowledge Graph. (2026). Banach fixed-point theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/banach-fixed-point-theorem
MLA “Banach fixed-point theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/banach-fixed-point-theorem.
BibTeX @misc{4ortxyz_banach-fixed-point-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Banach fixed-point theorem}}, year = {2026}, url = {https://4ort.xyz/entity/banach-fixed-point-theorem}, note = {Accessed: 2026-05-03}}
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