Monotonicity and Circular Cone Monotonicity Associated with Circular Cones

Jinchuan Zhou; Jein Shan Chen

doi:10.1007/s11228-016-0374-7

Monotonicity and Circular Cone Monotonicity Associated with Circular Cones

Jinchuan Zhou
, Jein Shan Chen^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

The circular cone ℒ_θ 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^Lθ 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 language	English
Pages (from-to)	211-232
Number of pages	22
Journal	Set-Valued and Variational Analysis
Volume	25
Issue number	2
DOIs	https://doi.org/10.1007/s11228-016-0374-7
Publication status	Published - 2017 Jun 1

Keywords

Circular cone
Circular cone monotonicity
Monotonicity

ASJC Scopus subject areas

Analysis
Statistics and Probability
Numerical Analysis
Geometry and Topology
Applied Mathematics

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10.1007/s11228-016-0374-7

Cite this

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title = "Monotonicity and Circular Cone Monotonicity Associated with Circular Cones",

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 fLθ 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.",

keywords = "Circular cone, Circular cone monotonicity, Monotonicity",

author = "Jinchuan Zhou and Chen, \{Jein Shan\}",

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AU - Zhou, Jinchuan

AU - Chen, Jein Shan

PY - 2017/6/1

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N2 - 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 fLθ 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.

AB - 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 fLθ 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.

KW - Circular cone

KW - Circular cone monotonicity

KW - Monotonicity

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UR - https://www.scopus.com/pages/publications/85013028591#tab=citedBy

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AN - SCOPUS:85013028591

SN - 1877-0533

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JO - Set-Valued and Variational Analysis

JF - Set-Valued and Variational Analysis

IS - 2

ER -

Monotonicity and Circular Cone Monotonicity Associated with Circular Cones

Abstract

Keywords

ASJC Scopus subject areas

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