Multivalued function: Difference between revisions

Revision as of 03:01, 11 October 2023

Revision as of 03:03, 11 October 2023

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A ''multivalued function'' of sets ''f : X → Y'' is a subset

:<math> \Gamma_f\ \subseteq \ X\times Y.</math>

Write ''f(x)'' for the set of those ''y'' ∈ ''Y'' with (''x,y'') ∈ ''Γ_f''. OrdinaryIf functions''f'' areis an ordinary function, it is a multivalued functions by taking theirits [[Graph of a function|graph]].
:<math> \Gamma_f\ =\ \{(x,f(x))\ :\ x\in X\}.</math>
They are called '''single-valued functions''' to distinguish them.

== Motivation ==