Set-valued function
Function whose values are sets (mathematics) / From Wikipedia, the free encyclopedia
Dear Wikiwand AI, let's keep it short by simply answering these key questions:
Can you list the top facts and stats about Set-valued function?
Summarize this article for a 10 year old
A set-valued function (or correspondence) 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.
Set-valued functions are also known as multivalued functions in some references,[1] but herein and in many others references in mathematical analysis, a multivalued function is a set-valued function f that has a further continuity property, namely that the choice of an element in the set defines a corresponding element in each set for y close to x, and thus defines locally an ordinary function.