Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Kakutani_fixed-point_theorem> ?p ?o }
- Kakutani_fixed-point_theorem abstract "In mathematical analysis, the Kakutani fixed-point theorem is a fixed-point theorem for set-valued functions. It provides sufficient conditions for a set-valued function defined on a convex, compact subset of a Euclidean space to have a fixed point, i.e. a point which is mapped to a set containing it. The Kakutani fixed point theorem is a generalization of Brouwer fixed point theorem. The Brouwer fixed point theorem is a fundamental result in topology which proves the existence of fixed points for continuous functions defined on compact, convex subsets of Euclidean spaces. Kakutani's theorem extends this to set-valued functions.The theorem was developed by Shizuo Kakutani in 1941, and was used by John Nash in his description of Nash equilibria. It has subsequently found widespread application in game theory and economics.".
- Kakutani_fixed-point_theorem wikiPageExternalLink home.htm.
- Kakutani_fixed-point_theorem wikiPageExternalLink fixedpoint.htm.
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- Kakutani_fixed-point_theorem wikiPageRevisionID "705336543".
- Kakutani_fixed-point_theorem wikiPageWikiLink Barycentric_subdivision.
- Kakutani_fixed-point_theorem wikiPageWikiLink Bolzano–Weierstrass_theorem.
- Kakutani_fixed-point_theorem wikiPageWikiLink Brouwer_fixed-point_theorem.
- Kakutani_fixed-point_theorem wikiPageWikiLink Cartesian_product.
- Kakutani_fixed-point_theorem wikiPageWikiLink Category:Fixed-point_theorems.
- Kakutani_fixed-point_theorem wikiPageWikiLink Category:General_equilibrium_and_disequilibrium.
- Kakutani_fixed-point_theorem wikiPageWikiLink Category:Mathematical_and_quantitative_methods_(economics).
- Kakutani_fixed-point_theorem wikiPageWikiLink Category:Mathematical_economics.
- Kakutani_fixed-point_theorem wikiPageWikiLink Category:Theorems_in_convex_geometry.
- Kakutani_fixed-point_theorem wikiPageWikiLink Category:Theorems_in_topology.
- Kakutani_fixed-point_theorem wikiPageWikiLink Closed_graph_theorem.
- Kakutani_fixed-point_theorem wikiPageWikiLink Closed_set.
- Kakutani_fixed-point_theorem wikiPageWikiLink Combinatorics.
- Kakutani_fixed-point_theorem wikiPageWikiLink Compact_space.
- Kakutani_fixed-point_theorem wikiPageWikiLink Continuous_function.
- Kakutani_fixed-point_theorem wikiPageWikiLink Convex_set.
- Kakutani_fixed-point_theorem wikiPageWikiLink Economics.
- Kakutani_fixed-point_theorem wikiPageWikiLink Empty_set.
- Kakutani_fixed-point_theorem wikiPageWikiLink Euclidean_space.
- Kakutani_fixed-point_theorem wikiPageWikiLink File:Kakutani.svg.
- Kakutani_fixed-point_theorem wikiPageWikiLink Fixed-point_theorem.
- Kakutani_fixed-point_theorem wikiPageWikiLink Fixed-point_theorems_in_infinite-dimensional_spaces.
- Kakutani_fixed-point_theorem wikiPageWikiLink Fixed_point_(mathematics).
- Kakutani_fixed-point_theorem wikiPageWikiLink Function_(mathematics).
- Kakutani_fixed-point_theorem wikiPageWikiLink Game_theory.
- Kakutani_fixed-point_theorem wikiPageWikiLink General_equilibrium_theory.
- Kakutani_fixed-point_theorem wikiPageWikiLink Hausdorff_space.
- Kakutani_fixed-point_theorem wikiPageWikiLink Hemicontinuity.
- Kakutani_fixed-point_theorem wikiPageWikiLink Interval_(mathematics).
- Kakutani_fixed-point_theorem wikiPageWikiLink Irving_Glicksberg.
- Kakutani_fixed-point_theorem wikiPageWikiLink John_Forbes_Nash,_Jr..
- Kakutani_fixed-point_theorem wikiPageWikiLink Ky_Fan.
- Kakutani_fixed-point_theorem wikiPageWikiLink Limit_of_a_sequence.
- Kakutani_fixed-point_theorem wikiPageWikiLink Lionel_W._McKenzie.
- Kakutani_fixed-point_theorem wikiPageWikiLink Locally_convex_topological_vector_space.
- Kakutani_fixed-point_theorem wikiPageWikiLink Léon_Walras.
- Kakutani_fixed-point_theorem wikiPageWikiLink Map_(mathematics).
- Kakutani_fixed-point_theorem wikiPageWikiLink Mathematical_analysis.
- Kakutani_fixed-point_theorem wikiPageWikiLink Metric_space.
- Kakutani_fixed-point_theorem wikiPageWikiLink Minimax.
- Kakutani_fixed-point_theorem wikiPageWikiLink Multivalued_function.
- Kakutani_fixed-point_theorem wikiPageWikiLink Nash_equilibrium.
- Kakutani_fixed-point_theorem wikiPageWikiLink Nobel_Memorial_Prize_in_Economic_Sciences.
- Kakutani_fixed-point_theorem wikiPageWikiLink Open_set.
- Kakutani_fixed-point_theorem wikiPageWikiLink Power_set.
- Kakutani_fixed-point_theorem wikiPageWikiLink Product_topology.
- Kakutani_fixed-point_theorem wikiPageWikiLink Retract.
- Kakutani_fixed-point_theorem wikiPageWikiLink Sequence.
- Kakutani_fixed-point_theorem wikiPageWikiLink Shizuo_Kakutani.
- Kakutani_fixed-point_theorem wikiPageWikiLink Simplex.
- Kakutani_fixed-point_theorem wikiPageWikiLink Sperners_lemma.
- Kakutani_fixed-point_theorem wikiPageWikiLink Strategy_(game_theory).
- Kakutani_fixed-point_theorem wikiPageWikiLink Subsequence.
- Kakutani_fixed-point_theorem wikiPageWikiLink Subset.
- Kakutani_fixed-point_theorem wikiPageWikiLink The_New_School.
- Kakutani_fixed-point_theorem wikiPageWikiLink Topological_vector_space.
- Kakutani_fixed-point_theorem wikiPageWikiLink Topology.
- Kakutani_fixed-point_theorem wikiPageWikiLink Tuple.
- Kakutani_fixed-point_theorem wikiPageWikiLink Tychonoffs_theorem.
- Kakutani_fixed-point_theorem wikiPageWikiLink Zero-sum_game.
- Kakutani_fixed-point_theorem wikiPageWikiLink File:Kakutani_non.svg.
- Kakutani_fixed-point_theorem wikiPageWikiLinkText "Kakutani fixed-point theorem".
- Kakutani_fixed-point_theorem wikiPageWikiLinkText "eponymous fixed-point theorem".
- Kakutani_fixed-point_theorem id "p/k055090".
- Kakutani_fixed-point_theorem title "Kakutani theorem".
- Kakutani_fixed-point_theorem wikiPageUsesTemplate Template:Cite_book.
- Kakutani_fixed-point_theorem wikiPageUsesTemplate Template:Functional_Analysis.
- Kakutani_fixed-point_theorem wikiPageUsesTemplate Template:Reflist.
- Kakutani_fixed-point_theorem wikiPageUsesTemplate Template:See_also.
- Kakutani_fixed-point_theorem wikiPageUsesTemplate Template:Springer.
- Kakutani_fixed-point_theorem subject Category:Fixed-point_theorems.
- Kakutani_fixed-point_theorem subject Category:General_equilibrium_and_disequilibrium.
- Kakutani_fixed-point_theorem subject Category:Mathematical_and_quantitative_methods_(economics).
- Kakutani_fixed-point_theorem subject Category:Mathematical_economics.
- Kakutani_fixed-point_theorem subject Category:Theorems_in_convex_geometry.
- Kakutani_fixed-point_theorem subject Category:Theorems_in_topology.
- Kakutani_fixed-point_theorem hypernym Theorem.
- Kakutani_fixed-point_theorem type Function.
- Kakutani_fixed-point_theorem type Microeconomic.
- Kakutani_fixed-point_theorem type Theorem.
- Kakutani_fixed-point_theorem type Thing.
- Kakutani_fixed-point_theorem comment "In mathematical analysis, the Kakutani fixed-point theorem is a fixed-point theorem for set-valued functions. It provides sufficient conditions for a set-valued function defined on a convex, compact subset of a Euclidean space to have a fixed point, i.e. a point which is mapped to a set containing it. The Kakutani fixed point theorem is a generalization of Brouwer fixed point theorem.".
- Kakutani_fixed-point_theorem label "Kakutani fixed-point theorem".
- Kakutani_fixed-point_theorem seeAlso Game_theory.
- Kakutani_fixed-point_theorem seeAlso General_equilibrium_theory.
- Kakutani_fixed-point_theorem seeAlso Mathematical_economics.
- Kakutani_fixed-point_theorem sameAs Q518524.
- Kakutani_fixed-point_theorem sameAs Teorema_del_punt_fix_de_Kakutani.
- Kakutani_fixed-point_theorem sameAs Teorema_del_punto_fijo_de_Kakutani.
- Kakutani_fixed-point_theorem sameAs Théorème_du_point_fixe_de_Kakutani.
- Kakutani_fixed-point_theorem sameAs Teorema_di_Kakutani.
- Kakutani_fixed-point_theorem sameAs 角谷の不動点定理.
- Kakutani_fixed-point_theorem sameAs Dekpuntstelling_van_Kakutani.