English

Co-radiant set-valued mappings

Optimization and Control 2019-03-01 v1

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 mappings that take closed normal values, by means of elementary members in the class of such mappings.

Keywords

Cite

@article{arxiv.1902.10772,
  title  = {Co-radiant set-valued mappings},
  author = {Abelardo Jordán and Juan Enrique Martínez-Legaz},
  journal= {arXiv preprint arXiv:1902.10772},
  year   = {2019}
}

Comments

19 pages

R2 v1 2026-06-23T07:53:31.687Z