Monotonicity and Circular Cone Monotonicity Associated with Circular Cones

Jinchuan Zhou, Jein Shan Chen

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The circular cone ℒθ is not self-dual under the standard inner product and includes second-order cone as a special case. In this paper, we focus on the monotonicity of f and circular cone monotonicity of f. Their relationship is discussed as well. Our results show that the angle θ plays a different role in these two concepts.

Original languageEnglish
Pages (from-to)211-232
Number of pages22
JournalSet-Valued and Variational Analysis
Volume25
Issue number2
DOIs
Publication statusPublished - 2017 Jun 1

Fingerprint

Circular cone
Monotonicity
Cones
Second-order Cone
Scalar, inner or dot product
Angle
Relationships
Concepts
Standards

Keywords

  • Circular cone
  • Circular cone monotonicity
  • Monotonicity

ASJC Scopus subject areas

  • Analysis
  • Statistics and Probability
  • Numerical Analysis
  • Geometry and Topology
  • Applied Mathematics

Cite this

Monotonicity and Circular Cone Monotonicity Associated with Circular Cones. / Zhou, Jinchuan; Chen, Jein Shan.

In: Set-Valued and Variational Analysis, Vol. 25, No. 2, 01.06.2017, p. 211-232.

Research output: Contribution to journalArticle

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