The P-class and Q-class functions on symmetric cones

Chien Hao Huang, Yu Lin Chang, Jein Shan Chen

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we investigate the functions of P-class and of Q-class associated with symmetric cones. We provide the characterizations for P-class functions on symmetric cones, and discuss the relationship between P-class functions and monotone functions in the setting of symmetric cones. In addition, we also discuss the sufficient conditions for Q-class functions being monotone in the setting of symmetric cones.

Original languageEnglish
Pages (from-to)273-284
Number of pages12
JournalJournal of Nonlinear and Variational Analysis
Volume4
Issue number2
DOIs
Publication statusPublished - 2020

Keywords

  • P-class function
  • Q-class function
  • SC-convex
  • SC-monotone
  • Symmetric cone

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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