…These theorems are generally called fixed point theorems. The most classical one is the following fixed point theorem by L. Brouwer (1912): If X is a bounded closed set in n -dimensional Euclidean space, then any continuous mapping from X to itself has a fixed point. … *Some of the terminology that mentions "Brouwer, L." is listed below. Source | Heibonsha World Encyclopedia 2nd Edition | Information |
…これらの定理を一般に不動点定理と呼んでいる。もっとも古典的なものは,次のブローエルL.Brouwerの不動点定理(1912)である。〈Xがn次元ユークリッド空間の有界閉集合ならば,XからX自身へのどんな連続写像も不動点をもつ〉。… ※「Brouwer,L.」について言及している用語解説の一部を掲載しています。 出典|株式会社平凡社世界大百科事典 第2版について | 情報 |
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