On the spherical quasi-convexity of quadratic functions on spherical self-dual convex sets

Orizon P. Ferreira; Sándor Z. Németh; Lianghai Xiao

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arXiv · 1905.06891

On the spherical quasi-convexity of quadratic functions on spherical self-dual convex sets

Orizon P. Ferreira·Sándor Z. Németh·Lianghai Xiao

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Abstract

In this paper, the spherical quasi-convexity of quadratic functions on spherically subdual convex sets is studied. Sufficient conditions for spherical quasi-convexity on spherically subdual convex sets are presented. A partial characterization of spherical quasi-convexity on spherical Lorentz sets is given and some examples are provided.

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Orizon P. Ferreira, Sándor Z. Németh, Lianghai Xiao. 2019-05-16. On the spherical quasi-convexity of quadratic functions on spherical self-dual convex sets. https://arxiv.org/abs/1905.06891

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