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.

Author information

Contact details are reproduced from the original publication and may be historical.

Abelardo Jordán

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

ajordan@pucp.edu.pe

Juan Enrique Martínez-Legaz

Dep. d'Economia i d'Història Econòmica, Universitat Autònoma de Barcelona, Barcelona Graduate School of Mathematics, Spain

JuanEnrique.Martinez.Legaz@uab.es

Keywords

  • Co-radiantness
  • abstract convexity
  • set-valued mapping
  • normal set

Mathematics Subject Classification

26E25, 47H04

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Suggested citation

A. Jordán, J. E. Martínez-Legaz. “Co-Radiant Set-Valued Mappings.” Journal of Convex Analysis 27 (2020), No. 2, 389–405. https://doi.org/10.68381/jca27022

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Published by Heldermann Verlag, 2020. Rights now held by Banach Press.