The Vector-Valued Functions Associated with Circular Cones
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-19
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
The circular cone is a pointed closed convex cone having hyperspherical sections orthogonal to its axis of revolution about which the cone is invariant to rotation, which includes second-order cone as a special case when the rotation angle is 45 degrees.
Let Lθ denote the circular cone in Rn.
For a function f from R to R, one can define a corresponding vector-valued function fLθ on Rn by applying f to the spectral values of the spectral decomposition of x∈Rn with respect to Lθ.
In this paper, we study properties that this vector-valued function inherits from f, including Hölder continuity, B-subdifferentiability, ρ-order semismoothness, and positive homogeneity.
These results will play crucial role in designing solution methods for optimization problem involved in circular cone constraints.
American Psychological Association (APA)
Zhou, Jinchuan& Chen, Jein-Shan. 2014. The Vector-Valued Functions Associated with Circular Cones. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-21.
https://search.emarefa.net/detail/BIM-1014320
Modern Language Association (MLA)
Zhou, Jinchuan& Chen, Jein-Shan. The Vector-Valued Functions Associated with Circular Cones. Abstract and Applied Analysis No. 2014 (2014), pp.1-21.
https://search.emarefa.net/detail/BIM-1014320
American Medical Association (AMA)
Zhou, Jinchuan& Chen, Jein-Shan. The Vector-Valued Functions Associated with Circular Cones. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-21.
https://search.emarefa.net/detail/BIM-1014320
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014320