Lipschitz Continuity of the Solution Mapping of Symmetric Cone Complementarity Problems
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-20
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This paper investigates the Lipschitz continuity of the solution mapping of symmetric cone (linear or nonlinear) complementarity problems (SCLCP or SCCP, resp.) over Euclidean Jordan algebras.
We show that if the transformation has uniform Cartesian P-property, then the solution mapping of the SCCP is Lipschitz continuous.
Moreover, we establish that the monotonicity of mapping and the Lipschitz continuity of solutions of the SCLCP imply ultra P-property, which is a concept recently developed for linear transformations on Euclidean Jordan algebra.
For a Lyapunov transformation, we prove that the strong monotonicity property, the ultra P-property, the Cartesian P-property, and the Lipschitz continuity of the solutions are all equivalent to each other.
American Psychological Association (APA)
Miao, Xin-He& Chen, Jein-Shan. 2012. Lipschitz Continuity of the Solution Mapping of Symmetric Cone Complementarity Problems. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-448108
Modern Language Association (MLA)
Miao, Xin-He& Chen, Jein-Shan. Lipschitz Continuity of the Solution Mapping of Symmetric Cone Complementarity Problems. Abstract and Applied Analysis No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-448108
American Medical Association (AMA)
Miao, Xin-He& Chen, Jein-Shan. Lipschitz Continuity of the Solution Mapping of Symmetric Cone Complementarity Problems. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-448108
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-448108