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

被引：0

作者：

Orizon Pereira Ferreira

Sándor Zoltán Németh

Lianghai Xiao

机构：

[1] Universidade Federal de Goiás,Instituto Matemática e Estatística

[2] University of Birmingham,School of Mathematics

来源：

Journal of Optimization Theory and Applications | 2020年 / 187卷

关键词：

Spherical quasi-convexity; Quadratic function; Subdual cone; 26B25; 90C25;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：1 / 21

页数：20

共 18 条

[1] On the Spherical Quasi-convexity of Quadratic Functions on Spherically Subdual Convex Sets
Ferreira, Orizon Pereira
Nemeth, Sandor Zoltan
Xiao, Lianghai
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2020, 187 (01) : 1 - 21
[2] On the spherical quasi-convexity of quadratic functions
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[3] QUASI-CONVEXITY, STRICTLY QUASI-CONVEXITY AND PSEUDO-CONVEXITY OF COMPOSITE OBJECTIVE FUNCTIONS
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REVUE FRANCAISE D AUTOMATIQUE INFORMATIQUE RECHERCHE OPERATIONNELLE, 1972, (NR-1): : 15 - &
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[5] On the spherical convexity of quadratic functions
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[8] ON CONVEXITY OF QUADRATIC FORMS OVER CONVEX SETS
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OPERATIONS RESEARCH, 1967, 15 (01) : 170 - +
[9] Convexity of Sets and Quadratic Functions on the Hyperbolic Space
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[10] CONDITIONS FOR CONVEXITY OF QUASI-CONVEX FUNCTIONS
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MATHEMATICS OF OPERATIONS RESEARCH, 1980, 5 (01) : 120 - 125

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