Schauder fixed-point theorem
GPTKB entity
Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Hilbert_space
continuous function compact convex set |
| gptkbp:field |
gptkb:mathematics
functional analysis |
| gptkbp:generalizes |
gptkb:Brouwer_fixed-point_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Schauder fixed-point theorem
|
| gptkbp:implies |
existence of fixed points in infinite-dimensional spaces
|
| gptkbp:namedAfter |
gptkb:Juliusz_Schauder
|
| gptkbp:relatedTo |
gptkb:Brouwer_fixed-point_theorem
|
| gptkbp:sentence |
Every continuous function from a convex compact subset of a Banach space to itself has a fixed point.
|
| gptkbp:usedIn |
partial differential equations
nonlinear analysis |
| gptkbp:yearProposed |
1930
|
| gptkbp:bfsParent |
gptkb:Banach_fixed-point_theorem
|
| gptkbp:bfsLayer |
5
|