Krasnoselskii's fixed-point theorem
GPTKB entity
Statements (12)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
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| gptkbp:appliesTo |
gptkb:Banach_spaces
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| gptkbp:concerns |
fixed points
|
| gptkbp:field |
functional analysis
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| gptkbp:introducedIn |
1955
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| gptkbp:namedAfter |
Mark Krasnoselskii
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| 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.
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| gptkbp:usedIn |
gptkb:partial_differential_equations
nonlinear analysis |
| gptkbp:bfsParent |
gptkb:Mark_Krasnosel'skii
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| gptkbp:bfsLayer |
7
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| https://www.w3.org/2000/01/rdf-schema#label |
Krasnoselskii's fixed-point theorem
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