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 (697 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 is part of 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[11].
  • Banach fixed-point theorem's studied by is recorded as topology[12].
  • Banach fixed-point theorem's maintained by WikiProject is recorded as WikiProject Mathematics[13].

Body

Definition and Type

Recorded instance of include fixed-point theorem[5] and theorem[6].

Origins

Things named after include Stefan Banach[7], a mathematician[14], 1892–1945[15], of Cisleithania[16], awarded the Order of the White Eagle[17], specialised in mathematics[18] and Renato Caccioppoli[8], a mathematician[19], 1904–1959[20], of Italy[21], specialised in mathematical analysis[22].

Use and Application

Banach fixed-point theorem is part of list of theorems[9].

Why It Matters

Banach fixed-point theorem ranks in the top 7% of fixed_point_theorem entities by monthly Wikipedia readership (697 views/month).[2] It has Wikipedia articles in 21 language editions, a strong signal of global cultural recognition.[23] It is known by 11 alternative names across languages and contexts.[24]

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] . wikidata.org.
  11. [13] . wikidata.org.

Inline context (facts about related entities)

  1. [14] . Wikidata. wikidata.org. → on this site
  2. [15] . Wikidata. wikidata.org. → on this site
  3. [16] . Wikidata. wikidata.org. → on this site
  4. [17] . Wikidata. wikidata.org. → on this site
  5. [18] . Wikidata. wikidata.org. → on this site
  6. [19] . Wikidata. wikidata.org. → on this site
  7. [20] . Wikidata. wikidata.org. → on this site
  8. [21] . Wikidata. wikidata.org. → on this site
  9. [22] . 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. [23] . Wikidata sitelinks. wikidata.org.
  3. [24] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

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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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 15d ago · Mynus grey · 2026-07-02 view diff on Wikidata ↗
    Named after
    Instance of fixed-point theorem, theorem
    P14534 ContractingWith.exists_fixedPoint
    Instance of
    + 7 other properties edited (see Wikidata diff for full list)
    "/* wbcreateclaim-create:1| */ [[Property:P14534]]: ContractingWith.exists_fixedPoint, #quickstatements; #temporary_batch_1783013068346"
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