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^*

^*此作品的通信作者

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

3 引文斯高帕斯（Scopus）

摘要

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.

原文	英語
頁（從 - 到）	211-232
頁數	22
期刊	Set-Valued and Variational Analysis
卷	25
發行號	2
DOIs	https://doi.org/10.1007/s11228-016-0374-7
出版狀態	已發佈 - 2017 6月 1

ASJC Scopus subject areas

分析
統計與概率
數值分析
幾何和拓撲
應用數學

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10.1007/s11228-016-0374-7

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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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Monotonicity and Circular Cone Monotonicity Associated with Circular Cones

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