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convex set
(redirected from Convex subset)

   Also found in: Wikipedia 0.01 sec.
convex set [′kän‚veks ′set]
(mathematics)
A set which contains the entire line segment joining any pair of its points.


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Kukutani's theorem states that if S is closed, and [phi] is an upper semicontinuous mapping from within S to a closed convex subset of x, then there exists a point x in S such that x is in [phi](x) (Karlin 1959, 408-409).
 
 
 
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