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

Facts

5 properties
🏷️ Also known as
en Schauder fixed point theorem de Fixpunktsatz von Schauder de Schauder-Fixpunktsatz de Schauderscher Fixpunktsatz el Θεώρημα σταθερού σημείου του Σάουντερ fr théorème du point fixe de Schauder it teorema del punto fisso di Schauder ja シャウダーの不動点定理 ko 샤우데르 고정점 정리 pl twierdzenie Schaudera o punkcie stałym pt teorema do ponto fixo de Schauder ru теорема Шаудера — Тихонова
🔖 Identifiers · 8
GND ID
4179417-5
OpenAlex ID
C28642324
Bibliothèque nationale de France ID
171464658
Encyclopedia of Mathematics article ID
Schauder_theorem
Freebase ID
/m/02p2qz6
IdRef ID
20311275X
Microsoft Academic ID (discontinued)
28642324
National Library of Latvia ID
000355297

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Created notable works 1
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Summary

Schauder fixed point theorem is a fixed-point theorem[1].

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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: 2026-11-07}}
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