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- Schauder_fixed_point_theorem abstract "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 convex subset of a topological vector space and is a continuous mapping of into itself so that is contained in a compact subset of , then has a fixed point.A consequence, called Schaefer's fixed point theorem, is particularly useful for proving existence of solutions to nonlinear partial differential equations.Schaefer's theorem is in fact a special case of the far reaching Leray–Schauder theorem which was discovered earlier by Juliusz Schauder and Jean Leray.The statement is as follows:Let be a continuous and compact mapping of a Banach space into itself, such that the set is bounded. Then has a fixed point.".
- Schauder_fixed_point_theorem wikiPageID "638200".
- Schauder_fixed_point_theorem wikiPageRevisionID "590023219".
- Schauder_fixed_point_theorem hasPhotoCollection Schauder_fixed_point_theorem.
- Schauder_fixed_point_theorem id "4455".
- Schauder_fixed_point_theorem id "p/s083320".
- Schauder_fixed_point_theorem title "Schauder fixed point theorem".
- Schauder_fixed_point_theorem title "Schauder theorem".
- Schauder_fixed_point_theorem subject Category:Fixed-point_theorems.
- Schauder_fixed_point_theorem subject Category:Fixed_points_(mathematics).
- Schauder_fixed_point_theorem subject Category:Functional_analysis.
- Schauder_fixed_point_theorem subject Category:Theorems_in_topology.
- Schauder_fixed_point_theorem type Abstraction100002137.
- Schauder_fixed_point_theorem type Communication100033020.
- Schauder_fixed_point_theorem type Message106598915.
- Schauder_fixed_point_theorem type Proposition106750804.
- Schauder_fixed_point_theorem type Statement106722453.
- Schauder_fixed_point_theorem type Theorem106752293.
- Schauder_fixed_point_theorem type TheoremsInTopology.
- Schauder_fixed_point_theorem comment "The Schauder fixed point theorem is an extension of the Brouwer fixed point theorem to topological vector spaces, which may be of infinite dimension.".
- Schauder_fixed_point_theorem label "Fixpunktsatz von Schauder".
- Schauder_fixed_point_theorem label "Schauder fixed point theorem".
- Schauder_fixed_point_theorem label "Teorema del punto fisso di Schauder".
- Schauder_fixed_point_theorem label "Teorema do ponto fixo de Schauder".
- Schauder_fixed_point_theorem label "Théorème du point fixe de Schauder".
- Schauder_fixed_point_theorem label "Twierdzenie Schaudera o punkcie stałym".
- Schauder_fixed_point_theorem label "Теорема Шаудера — Тихонова".
- Schauder_fixed_point_theorem sameAs Fixpunktsatz_von_Schauder.
- Schauder_fixed_point_theorem sameAs Théorème_du_point_fixe_de_Schauder.
- Schauder_fixed_point_theorem sameAs Teorema_del_punto_fisso_di_Schauder.
- Schauder_fixed_point_theorem sameAs Twierdzenie_Schaudera_o_punkcie_stałym.
- Schauder_fixed_point_theorem sameAs Teorema_do_ponto_fixo_de_Schauder.
- Schauder_fixed_point_theorem sameAs m.02p2qz6.
- Schauder_fixed_point_theorem sameAs Q656176.
- Schauder_fixed_point_theorem sameAs Q656176.
- Schauder_fixed_point_theorem sameAs Schauder_fixed_point_theorem.
- Schauder_fixed_point_theorem wasDerivedFrom Schauder_fixed_point_theorem?oldid=590023219.
- Schauder_fixed_point_theorem isPrimaryTopicOf Schauder_fixed_point_theorem.