On the existence of saddle points for nonlinear second-order cone programming problems

Jinchuan Zhou, Jein Shan Chen

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this paper, we study the existence of local and global saddle points for nonlinear second-order cone programming problems. The existence of local saddle points is developed by using the second-order sufficient conditions, in which a sigma-term is added to reflect the curvature of second-order cone. Furthermore, by dealing with the perturbation of the primal problem, we establish the existence of global saddle points, which can be applicable for the case of multiple optimal solutions. The close relationship between global saddle points and exact penalty representations are discussed as well.

Original languageEnglish
Pages (from-to)459-480
Number of pages22
JournalJournal of Global Optimization
Volume62
Issue number3
DOIs
Publication statusPublished - 2015 Nov 6

Keywords

  • Augmented Lagrangian
  • Exact penalty representations
  • Local and global saddle points
  • Second-order sufficient conditions

ASJC Scopus subject areas

  • Computer Science Applications
  • Management Science and Operations Research
  • Control and Optimization
  • Applied Mathematics

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