Schauder fixed point theorem

theorem that a continuous mapping of a convex subset of a topological vector space into a compact subset of itself has a fixed point
Thing fixed_point_theorem Q656176
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Schauder fixed point theorem

Summary

Schauder fixed point theorem is a fixed-point theorem[1]. It draws 89 Wikipedia views per month (fixed_point_theorem category, ranking #6 of 14).[2]

Key Facts

  • Schauder fixed point theorem's instance of is recorded as fixed-point theorem[3].
  • Juliusz Schauder is named after Schauder fixed point theorem[4].
  • Andrey Tikhonov is named after Schauder fixed point theorem[5].
  • Schauder fixed point theorem's GND ID is recorded as 4179417-5[6].
  • Schauder fixed point theorem's Bibliothèque nationale de France ID is recorded as 171464658[7].
  • Schauder fixed point theorem's IdRef ID is recorded as 20311275X[8].
  • Schauder fixed point theorem's subclass of is recorded as fixed-point theorems in infinite-dimensional spaces[9].
  • Schauder fixed point theorem's part of is recorded as list of theorems[10].
  • Schauder fixed point theorem's Freebase ID is recorded as /m/02p2qz6[11].
  • Schauder fixed point theorem's National Library of Latvia ID is recorded as 000355297[12].
  • Schauder fixed point theorem's maintained by WikiProject is recorded as WikiProject Mathematics[13].
  • Schauder fixed point theorem's Microsoft Academic ID is recorded as 28642324[14].
  • Schauder fixed point theorem's Encyclopedia of Mathematics article ID is recorded as Schauder_theorem[15].
  • Schauder fixed point theorem's OpenAlex ID is recorded as C28642324[16].

Why It Matters

Schauder fixed point theorem draws 89 Wikipedia views per month (fixed_point_theorem category, ranking #6 of 14).[2] It has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[17]

References

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

Direct Wikidata claims

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

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [17] . Wikidata sitelinks. 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). Schauder fixed point theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/schauder-fixed-point-theorem
MLA “Schauder fixed point theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/schauder-fixed-point-theorem.
BibTeX @misc{4ortxyz_schauder-fixed-point-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Schauder fixed point theorem}}, year = {2026}, url = {https://4ort.xyz/entity/schauder-fixed-point-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Schauder fixed point theorem — https://4ort.xyz/entity/schauder-fixed-point-theorem (retrieved 2026-05-03)

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