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

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	Spanish
Journal	Journal of Convex Analysis
Volume	27
State	Published - 1 Jan 2020

Cite this

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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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year = "2020",

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journal = "Journal of Convex Analysis",

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AU - Martínez-Legaz, Juan Enrique

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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.

M3 - Artículo

SN - 0944-6532

VL - 27

JO - Journal of Convex Analysis

JF - Journal of Convex Analysis

ER -