Schauder fixed-point theorem
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 is a nonempty convex closed subset of a Hausdorff topological vector space and is a continuous mapping of into itself such that is contained in a compact subset of , then has a fixed point. Let be a continuous and compact mapping of a Banach space into itself, such that the set is bounded. Then has a fixed point.
Brouwer fixed-point theoremFixed-point propertyFixed-point theoremFixed-point theorems in infinite-dimensional spacesInvariant subspace problemJuliusz SchauderList of theoremsList of victims of NazismMark KrasnoselskyOscar LanfordSchaefer's fixed point theoremSchaefer's theoremSchauder's fixed point theoremSchauder-Tychonoff fixed point theoremSchauder-Tychonoff theoremSchauder fixed point theoremSchauder–Tychonoff fixed point theoremSchauder–Tychonoff theoremVictor Lomonosov
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Schauder fixed-point theorem
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 is a nonempty convex closed subset of a Hausdorff topological vector space and is a continuous mapping of into itself such that is contained in a compact subset of , then has a fixed point. Let be a continuous and compact mapping of a Banach space into itself, such that the set is bounded. Then has a fixed point.
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In matematica, il teorema del ...... tani o il teorema di Tikhonov.
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Le théorème du point fixe de S ...... s d'équations différentielles.
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O Teorema do ponto fixo de Sch ...... por Julius Schauder, em 1930.
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The Schauder fixed-point theor ...... unded. Then has a fixed point.
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Twierdzenie Schaudera o punkci ...... matematyka Juliusza Schaudera.
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Теорема Шаудера — Тихонова — о ...... ся обобщением теоремы Брауэра.
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数学においてシャウダーの不動点定理（シャウダーのふどうてんて ...... 合 が有界となるようなものとする。このとき は不動点を持つ。
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1,007,320,156
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p/s083320
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title
Schauder fixed point theorem
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Schauder theorem
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In matematica, il teorema del ...... ome teorema di Leray-Schauder.
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Le théorème du point fixe de S ...... s d'équations différentielles.
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O Teorema do ponto fixo de Sch ...... por Julius Schauder, em 1930.
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The Schauder fixed-point theor ...... unded. Then has a fixed point.
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Twierdzenie Schaudera o punkci ...... matematyka Juliusza Schaudera.
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Теорема Шаудера — Тихонова — о ...... ся обобщением теоремы Брауэра.
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数学においてシャウダーの不動点定理（シャウダーのふどうてんて ...... 合 が有界となるようなものとする。このとき は不動点を持つ。
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Fixpunktsatz von Schauder
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Schauder fixed-point theorem
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Teorema del punto fisso di Schauder
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Teorema do ponto fixo de Schauder
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Théorème du point fixe de Schauder
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Twierdzenie Schaudera o punkcie stałym
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Теорема Шаудера — Тихонова
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シャウダーの不動点定理
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샤우데르 고정점 정리
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