# Multi-valued function

From Encyclopedia of Mathematics

A function which assigns to each element $x\in X$ a subset $f(x)$ of a set $Y$: $f(x)\subset Y$, where there is at least one such subset of $Y$ consisting of at least two elements. See also Multi-valued mapping.

**How to Cite This Entry:**

Multi-valued function.

*Encyclopedia of Mathematics.*URL: http://www.encyclopediaofmath.org/index.php?title=Multi-valued_function&oldid=31981

This article was adapted from an original article by L.D. Kudryavtsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article