ϵ-Henig Saddle Points and Duality of Set-Valued Optimization Problems in Real Linear Spaces
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-03
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
We study ϵ-Henig saddle points and duality of set-valued optimization problems in the setting of real linear spaces.
Firstly, an equivalent characterization of ϵ-Henig saddle point of the Lagrangian set-valued map is obtained.
Secondly, under the assumption of the generalized cone subconvexlikeness of set-valued maps, the relationship between the ϵ-Henig saddle point of the Lagrangian set-valued map and the ϵ-Henig properly efficient element of the set-valued optimization problem is presented.
Finally, some duality theorems are given.
American Psychological Association (APA)
Zhou, Zhi-Ang. 2013. ϵ-Henig Saddle Points and Duality of Set-Valued Optimization Problems in Real Linear Spaces. The Scientific World Journal،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-1032881
Modern Language Association (MLA)
Zhou, Zhi-Ang. ϵ-Henig Saddle Points and Duality of Set-Valued Optimization Problems in Real Linear Spaces. The Scientific World Journal No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-1032881
American Medical Association (AMA)
Zhou, Zhi-Ang. ϵ-Henig Saddle Points and Duality of Set-Valued Optimization Problems in Real Linear Spaces. The Scientific World Journal. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-1032881
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1032881