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

2 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}",

note = "Funding Information: The author's work is supported by National Natural Science Foundation of China (11101248, 11271233) and Shandong Province Natural Science Foundation (ZR2010AQ026, ZR2012AM016). The author's work is supported by Ministry of Science and Technology, Taiwan. Publisher Copyright: {\textcopyright} 2016, Springer Science+Business Media Dordrecht.",

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doi = "10.1007/s11228-016-0374-7",

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T1 - Monotonicity and Circular Cone Monotonicity Associated with Circular Cones

AU - Zhou, Jinchuan

AU - Chen, Jein Shan

N1 - Funding Information: The author's work is supported by National Natural Science Foundation of China (11101248, 11271233) and Shandong Province Natural Science Foundation (ZR2010AQ026, ZR2012AM016). The author's work is supported by Ministry of Science and Technology, Taiwan. Publisher Copyright: © 2016, Springer Science+Business Media Dordrecht.

PY - 2017/6/1

Y1 - 2017/6/1

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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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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