Approximately Midconvex Set-Valued Functions
Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 2
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We will show that if $F$ is a set-valued mapping which satisfies $F(x) + F(y) ⊆ 2F ((x+y)/2)+ K$ for some convex compact set $K$, then under some restrictions, there are maximal superadditive and midconvex mappings which are $K$-subclose to $F$
Classification :
39B62, 39B52, 39B82, 26B51
@article{BMMS_2014_37_2_a18,
author = {Alireza Kamel Mirmostafaee and Mostafa Mahdavi},
title = {Approximately {Midconvex} {Set-Valued} {Functions}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2014},
volume = {37},
number = {2},
url = {http://geodesic.mathdoc.fr/item/BMMS_2014_37_2_a18/}
}
Alireza Kamel Mirmostafaee; Mostafa Mahdavi. Approximately Midconvex Set-Valued Functions. Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2014_37_2_a18/