Geodesic
Co-Radiant Set-Valued Mappings
Journal of convex analysis, Tome 27 (2020) no. 2, pp. 389-405
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We introduce and study a notion of co-radiantness for set-valued mappings between nonnegative orthants of Euclidean spaces. We analyze them from an abstract convexity perspective. Our main results consist in representations, in terms of intersections of graphs, of the increasing co-radiant set-valued mappings that take closed normal values, by means of elementary members in the class of such set-valued mappings.
Classification : 26E25, 47H04
Mots-clés : Co-radiantness, abstract convexity, set-valued mapping, normal set 
@article{JCA_2020_27_2_JCA_2020_27_2_a0,
     author = {A. Jord\'an and J. E. Mart{\'\i}nez-Legaz},
     title = {Co-Radiant {Set-Valued} {Mappings}},
     journal = {Journal of convex analysis},
     pages = {389--405},
     year = {2020},
     volume = {27},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2020_27_2_JCA_2020_27_2_a0/}
}
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A. Jordán; J. E. Martínez-Legaz. Co-Radiant Set-Valued Mappings. Journal of convex analysis, Tome 27 (2020) no. 2, pp. 389-405. http://geodesic.mathdoc.fr/item/JCA_2020_27_2_JCA_2020_27_2_a0/