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Fixed-point theorem
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== List of fixed-point theorems == {{Div col|colwidth=25em}} *[[Atiyah–Bott fixed-point theorem]] *[[Banach fixed-point theorem]] *[[Bekić's theorem]] *[[Borel fixed-point theorem]] *[[Bourbaki–Witt theorem]] *[[Browder fixed-point theorem]] *[[Brouwer fixed-point theorem]] *[[Rothe's fixed-point theorem]] *[[Caristi fixed-point theorem]] *[[Diagonal lemma]], also known as the fixed-point lemma, for producing self-referential sentences of [[first-order logic]] *[[Lawvere's fixed-point theorem]] *[[Discrete fixed-point theorem]]s *[[Earle-Hamilton fixed-point theorem]] *[[Fixed-point combinator]], which shows that every term in untyped [[lambda calculus]] has a fixed point *[[Fixed-point lemma for normal functions]] *[[Fixed-point property]] *[[Fixed-point theorems in infinite-dimensional spaces]] *[[Injective metric space]] *[[Kakutani fixed-point theorem]] *[[Kleene fixed-point theorem]] *[[Knaster–Tarski theorem]] *[[Lefschetz fixed-point theorem]] *[[Nielsen fixed-point theorem]] *[[Poincaré–Birkhoff theorem]] proves the existence of two fixed points *[[Ryll-Nardzewski fixed-point theorem]] *[[Schauder fixed-point theorem]] *[[Topological degree theory]] *[[Tychonoff fixed-point theorem]] {{div col end}}
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