Closed convex sets of Motzkin and generalized Minkowski types
Optimization and Control
2023-01-24 v1
Abstract
The aim of this paper is twofold. On one hand the generalized Minkowski sets are defined and characterized. On the other hand, the Motzkin decomposable sets, along with their epigraphic versions are considered and characterized in new ways. Among them, the closed convex sets with one single minimal face, i.e. translated closed convex cones, along with their epigraphic counterparts are particularly studied.
Keywords
Cite
@article{arxiv.2301.09504,
title = {Closed convex sets of Motzkin and generalized Minkowski types},
author = {Juan Enrique Martínez-Legaz and Cornel Pintea},
journal= {arXiv preprint arXiv:2301.09504},
year = {2023}
}