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Difference between revisions of "Multi-valued function"

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A function which assigns to each element <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/m/m065/m065230/m0652301.png" /> a subset <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/m/m065/m065230/m0652302.png" /> of a set <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/m/m065/m065230/m0652303.png" />: <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/m/m065/m065230/m0652304.png" />, where there is at least one such subset of <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/m/m065/m065230/m0652305.png" /> consisting of at least two elements. See also [[Multi-valued mapping|Multi-valued mapping]].
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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|Multi-valued mapping]].

Latest revision as of 13:59, 29 April 2014

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://encyclopediaofmath.org/index.php?title=Multi-valued_function&oldid=15329
This article was adapted from an original article by L.D. Kudryavtsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article