Set-valued function: Difference between revisions

Revision as of 09:54, 3 January 2023

Revision as of 11:55, 3 January 2023

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{{Short description|Function whose values are sets (mathematics)}}

{{About|set-valued functions as considered in variational analysis|multi-valued functions as they are considered inof complexmathematical analysis|Multivalued function|functions whose arguments are sets|Set function}}

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]].