On convex and *-concave multifunctions
Bożena Piątek
Annales Polonici Mathematici, Tome 85 (2005), p. 165-170 / Harvested from The Polish Digital Mathematics Library
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A continuous multifunction F:[a,b] → clb(Y) is *-concave if and only if the inclusion 1/(t-s)∫stF(x)dx⊂(F(s)*+F(t))/2 holds for every s,t ∈ [a,b], s < t.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:281064 
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Bożena Piątek. On convex and *-concave multifunctions. Annales Polonici Mathematici, Tome 85 (2005) pp. 165-170. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap86-2-6/