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

Orizon Pereira Ferreira (), Sándor Zoltán Németh () and Lianghai Xiao ()
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Orizon Pereira Ferreira: Universidade Federal de Goiás
Sándor Zoltán Németh: University of Birmingham
Lianghai Xiao: University of Birmingham

Journal of Optimization Theory and Applications, 2020, vol. 187, issue 1, No 1, 21 pages

Abstract: 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.

Keywords: Spherical quasi-convexity; Quadratic function; Subdual cone; 26B25; 90C25 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s10957-020-01741-7

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