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Journal of Convex Analysis 27 (2020), No. 2, 389--405
Copyright Heldermann Verlag 2020

Co-Radiant Set-Valued Mappings

Abelardo Jordán
Dep. Académico de Ciencias, Sección Matemáticas, Pontificia Universidad Católica del Perú, Peru

Juan Enrique Martínez-Legaz
Dep. d'Economia i d'Histňria Econňmica, Universitat Autňnoma de Barcelona, Barcelona Graduate School of Mathematics, Spain

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.

Keywords: Co-radiantness, abstract convexity, set-valued mapping, normal set.

MSC: 26E25, 47H04.

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