Brouwer's fixed-point theorem
GPTKB entity
Properties (38)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical theorem
|
| gptkbp:appliesTo |
continuous functions
compact convex sets |
| gptkbp:hasRelatedPatent |
computer science
optimization problems dynamical systems |
| https://www.w3.org/2000/01/rdf-schema#label |
Brouwer's fixed-point theorem
|
| gptkbp:isAssociatedWith |
functional analysis
functional equations measure theory computational geometry convex analysis differential topology dynamical systems theory topological vector spaces fixed-point combinatorial topology mathematical_economics |
| gptkbp:isRelatedTo |
fixed-point theory
topological fixed-point theory nonlinear analysis Sperner's lemma Brouwer_degree Leray-Schauder_theorem |
| gptkbp:isUsedIn |
economics
network theory topology game theory social choice theory control theory robot motion planning econometric models |
| gptkbp:isVisitedBy |
topological methods
|
| gptkbp:keyFigures |
geometry
algebraic topology mathematical analysis functional analysis |
| gptkbp:namedAfter |
gptkb:Luitzen_Egbertus_Jan_Brouwer
|
| gptkbp:state |
every continuous function from a convex compact set to itself has a fixed point
|