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{{About|set-valued functions as considered in variational analysis|multi-valued functions as they are considered in complex analysis|
A '''set-valued function''' (or '''correspondence''') is a mathematical function that maps elements from one set, known as the ___domain, to sets of elements in another set. Set-valued functions are used in a variety of mathematical fields, including [[Mathematical optimization|optimization]], [[control theory]] and [[game theory]].
== Examples ==
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