Co-radiant set-valued mappings

Abelardo Jordán; Juan Enrique Martínez-Legaz

Co-radiant set-valued mappings

Abelardo Jordán, Juan Enrique Martínez-Legaz

Sección de Matemáticas

Universitat Autònoma de Barcelona

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

1 Cita (Scopus)

Resumen

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.

Idioma original	Inglés
Publicación	Journal of Convex Analysis
Volumen	27
N.º	2
Estado	Publicada - 2020

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title = "Co-radiant set-valued mappings",

abstract = "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.",

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AU - Jordán, Abelardo

AU - Martínez-Legaz, Juan Enrique

N1 - Publisher Copyright: © Heldermann Verlag

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

KW - Abstract convexity

KW - Co-radiantness

KW - Normal set

KW - Set-valued mapping

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SN - 0944-6532

VL - 27

JO - Journal of Convex Analysis

JF - Journal of Convex Analysis

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Co-radiant set-valued mappings

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