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Set-valued function

A set-valued function, also called a correspondence or set-valued relation, is a mathematical function that maps elements from one set, the domain of the function, to subsets of another set. Set-valued functions are used in a variety of mathematical fields, including optimization, control theory and game theory.

Applications, Set-valued analysis & Distinction from multivalued functions

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Distinction from multivalued functions

Example

Set-valued analysis

Applications

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Map overview Semantic statistics

Set-valued function

Nodes49
Edges48
Triples60
Avg. degree1.96
Density0.040816
Components1

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Set-valued function

Top relations

related to Further reading · 43
Set-valued function → Aliprantis, Andres, Aubin, Basel, Berlin, Birkhäuser, Border, Boundary Value Problems, Cellina, Chowdhury, Continuous Selections, Deimling, Demonstratio Mathematica, Differential Inclusions, Dordrecht, Frankowska, Grundl, Gruyter, Górniewicz, Hermite-Hadamard
has application · 12
Set-valued function → Aumann, Bressan-Colombo, Fryszkowski, Kakutani, Kuratowski, Michael, Nash, Nevertheless, Other, Ryll-Nardzewski, Set-valued, This
related to Distinction from multivalued functions · 5
Set-valued function → Alternatively, Although, Geometrically, Panatiotopoulos, Wriggers

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Important terminology

set-valued function multivalued functions analysis theory also mathematical inclusions theorem differential control optimization relation topological continuous maps authors continuity references

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Set-valued functionhas applicationSet-valued0.60section
Set-valued functionhas applicationKakutani0.60section
Set-valued functionhas applicationNash0.60section
Set-valued functionhas applicationThis0.60section
Set-valued functionhas applicationNevertheless0.60section
Set-valued functionhas applicationMichael0.60section
Set-valued functionhas applicationOther0.60section
Set-valued functionhas applicationBressan-Colombo0.60section
Set-valued functionhas applicationKuratowski0.60section
Set-valued functionhas applicationRyll-Nardzewski0.60section
Set-valued functionhas applicationAumann0.60section
Set-valued functionhas applicationFryszkowski0.60section

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