Closed convex sets of Motzkin and generalized Minkowski types

Juan Enrique Martínez-Legaz; Cornel Pintea

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arXiv · 2301.09504

Closed convex sets of Motzkin and generalized Minkowski types

Juan Enrique Martínez-Legaz·Cornel Pintea

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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.

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Juan Enrique Martínez-Legaz, Cornel Pintea. 2023-01-23. Closed convex sets of Motzkin and generalized Minkowski types. https://arxiv.org/abs/2301.09504

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