Krasnoselskii's fixed-point theorem
GPTKB entity
Statements (12)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Banach_spaces
|
| gptkbp:concerns |
fixed points
|
| gptkbp:field |
functional analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Krasnoselskii's fixed-point theorem
|
| gptkbp:introducedIn |
1955
|
| gptkbp:namedAfter |
Mark Krasnoselskii
|
| gptkbp:sentence |
If a closed, convex, nonempty subset of a Banach space is mapped into itself by the sum of a contraction and a compact operator, then there is a fixed point.
|
| gptkbp:usedIn |
partial differential equations
nonlinear analysis |
| gptkbp:bfsParent |
gptkb:Mark_Krasnosel'skii
|
| gptkbp:bfsLayer |
6
|