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- {{Short description|Theorems generalizing the Brouwer fixed-point theorem}} ...oint]] theorems in infinite-dimensional spaces''' generalise the [[Brouwer fixed-point theorem]]. They have applications, for example, to the proof of [[existence ...4 KB (527 words) - 21:45, 5 June 2025
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- [[Category:Fixed-point theorems]] ...72 bytes (7 words) - 00:37, 22 July 2021
- #REDIRECT [[Fixed-point theorems in infinite-dimensional spaces]] ...65 bytes (6 words) - 00:07, 22 July 2021
- #REDIRECT [[Fixed-point theorems in infinite-dimensional spaces]] ...65 bytes (6 words) - 15:12, 19 October 2011
- In [[functional analysis]], a branch of mathematics, the '''Ryll-Nardzewski fixed-point theorem''' states that if <math>E</math> is a [[normed vector space]] and < ...ite journal|first=C.|last=Ryll-Nardzewski|title=Generalized random ergodic theorems and weakly almost periodic functions|journal=Bull. Acad. Polon. Sci. Sér. S ...3 KB (378 words) - 00:10, 26 February 2023
- {{Short description|Extension of the Brouwer fixed-point theorem}} The '''Schauder fixed-point theorem''' is an extension of the [[Brouwer fixed-point theorem]] to [[locally convex topological vector space]]s, which may be of ...3 KB (451 words) - 15:23, 30 June 2025
- {{Short description|Theorems generalizing the Brouwer fixed-point theorem}} ...oint]] theorems in infinite-dimensional spaces''' generalise the [[Brouwer fixed-point theorem]]. They have applications, for example, to the proof of [[existence ...4 KB (527 words) - 21:45, 5 June 2025
- ...s. Notable among them, in the setting of [[manifold]]s, is the [[Lefschetz fixed-point theorem|Lefschetz coincidence theorem]], which is typically known only in i ...3 KB (344 words) - 02:01, 17 March 2025
- [[Category:Theorems in dynamical systems]] ...1 KB (145 words) - 18:25, 27 May 2024
- Toy theorems can also have educational value as well. For example, after presenting a th ...btained by restricting the [[dimension]] to one. In this case, the Brouwer fixed-point theorem follows almost immediately from the [[intermediate value theorem]]. ...2 KB (228 words) - 06:57, 23 March 2023
- {{otheruses4|Kleene's fixed-point theorem in lattice theory|the fixed-point theorem in computability theory|Kleene's recursion theorem}} ...al]] areas of [[order theory|order]] and [[lattice theory]], the '''Kleene fixed-point theorem''', named after American mathematician [[Stephen Cole Kleene]], sta ...6 KB (970 words) - 06:58, 10 May 2025
- {{Short description|Fixed-point theorem}} ...heory]], named after [[Nicolas Bourbaki]] and [[Ernst Witt]], is a basic [[fixed-point theorem]] for [[partially ordered set]]s. It states that if ''X'' is a non- ...4 KB (561 words) - 15:58, 16 November 2024
- ...is a branch of mathematical research with its origins in [[topological]] [[fixed-point theory]]. Its central ideas were developed by Danish mathematician [[Jakob ...oday. [[Jakob_Nielsen_(mathematician)|Nielsen]]'s approach is to group the fixed-point set into classes, which are judged "essential" or "nonessential" according ...3 KB (427 words) - 12:04, 26 July 2024
- The '''fixed-point lemma for normal functions''' is a basic result in [[axiomatic set theory]] [[Category:Fixed-point theorems|Normal Functions]] ...4 KB (645 words) - 06:27, 20 December 2024
- In [[mathematics]], a '''fixed-point theorem''' is a result saying that a [[function (mathematics)|function]] '' The [[Banach fixed-point theorem]] (1922) gives a general criterion guaranteeing that, if it is sati ...11 KB (1,479 words) - 00:51, 3 February 2024
- ==Theorems of which articles are primarily devoted to proving them== ==Articles devoted to theorems of which a (sketch of a) proof is given== ...6 KB (715 words) - 20:11, 5 June 2023
- ...ction theorem''', following an older convention used in naming compactness theorems, because they were formulated in terms of [[sequential compactness]] (the p ...le=On lattice points in <var>n</var>-dimensional star bodies. I. Existence theorems | jstor=97965 | mr=0017753 | year=1946 | journal=[[Proceedings of the Royal ...3 KB (386 words) - 17:34, 2 July 2020
- {{short description|Fixed-point theorem for smooth manifolds}} ...from smooth [[differential form]]s which appears in the original Lefschetz fixed-point theorem. ...8 KB (1,109 words) - 15:29, 5 February 2024
- [[Category:Theorems in dynamical systems]] ...3 KB (482 words) - 04:43, 28 May 2025
- ...holm theory]] of [[integral equations]]. There are several closely related theorems, which may be stated in terms of integral equations, in terms of [[linear a The [[Fredholm alternative]] is one of the Fredholm theorems. ...3 KB (542 words) - 22:03, 2 November 2020
- In [[mathematics]], the '''Lefschetz fixed-point theorem'''<ref name="Lef1926">{{cite journal | first=Solomon|last= Lefschet ...[[Multiplicity (mathematics)|multiplicity]] at a fixed point called the [[fixed-point index]]. A weak version of the theorem is enough to show that a mapping wit ...10 KB (1,611 words) - 07:17, 21 May 2025