On the Spherical Quasi-Convexity of Quadratic Functions on Spherically Subdual  Convex Sets

Orizon Ferreira; Sandor Nemeth; Lianghai Xiao

doi:10.1007/s10957-020-01741-7

On the Spherical Quasi-Convexity of Quadratic Functions on Spherically Subdual Convex Sets

Orizon Ferreira
, Sandor Nemeth
, Lianghai Xiao

Mathematics

Research output: Contribution to journal › Article › peer-review

273 Downloads (Pure)

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.

Original language	English
Pages (from-to)	1-21
Journal	Journal of Optimization Theory and Applications
Volume	187
Issue number	1
Early online date	1 Sept 2020
DOIs	https://doi.org/10.1007/s10957-020-01741-7
Publication status	Published - 1 Oct 2020

Keywords

Quadratic function
Spherical quasi-convexity
Subdual cone

ASJC Scopus subject areas

Control and Optimization
Management Science and Operations Research
Applied Mathematics

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10.1007/s10957-020-01741-7Licence: Creative Commons: Attribution (CC BY)

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https://link.springer.com/article/10.1007/s10957-020-01741-7

Cite this

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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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KW - Quadratic function

KW - Spherical quasi-convexity

KW - Subdual cone

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