e/Schauder fixed point theorem

Information
has gloss	eng: The Schauder fixed point theorem is an extension of the Brouwer fixed point theorem to topological vector spaces, which may be of infinite dimension. It asserts that if K is a convex subset of a topological vector space V and T is a continuous mapping of K into itself so that T(K) is contained in a compact subset of K, then T has a fixed point.
lexicalization	eng: Schauder fixed point theorem
instance of	c/Fixed points

Meaning
German
has gloss	deu: Der Fixpunktsatz von Schauder (nach Juliusz Schauder) gibt eine hinreichende Bedingung an, unter der eine Abbildung einen Fixpunkt besitzt. Er stellt eine starke Verallgemeinerung des Fixpunktsatzes von Brouwer dar, der stetige Funktionen auf konvexen, kompakten Teilmengen endlichdimensionaler Vektorräume behandelt.
lexicalization	deu: Fixpunktsatz von Schauder
Italian
has gloss	ita: In matematica, il teorema di Leray-Schauder è un teorema di punto fisso in spazi di Banach, e deriva dal teorema di Schauder.
lexicalization	ita: Teorema di punto fisso di Schaefer
Portuguese
has gloss	por: O Teorema do ponto fixo de Schauder é uma generalização do teorema do ponto fixo de Brouwer. Enquanto o teorema de Brouwer se aplica a espaços euclidianos, o teorema de Schauder vale em espaços de Banach.
lexicalization	por: Teorema do ponto fixo de Schauder
Russian
has gloss	rus: Теорема Шаудера — Тихонова — одна из теорем о неподвижных точках, являющаяся обобщением теоремы Брауэра.
lexicalization	rus: Теорема Шаудера — Тихонова
lexicalization	rus: Теорема Шаудера-Тихонова