Sharp Efficiency for Vector Equilibrium Problems on Banach Spaces
Joint Authors
Li, Si-Huan
Wang, Qiang
Wang, Jun-xiang
Xu, Shu
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-27
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
The concept of sharp efficient solution for vector equilibrium problems on Banach spaces is proposed.
Moreover, the Fermat rules for local efficient solutions of vector equilibrium problems are extended to the sharp efficient solutions by means of the Clarke generalized differentiation and the normal cone.
As applications, some necessary optimality conditions and sufficient optimality conditions for local sharp efficient solutions of a vector optimization problem with an abstract constraint and a vector variational inequality are obtained, respectively.
American Psychological Association (APA)
Li, Si-Huan& Wang, Qiang& Xu, Shu& Wang, Jun-xiang. 2013. Sharp Efficiency for Vector Equilibrium Problems on Banach Spaces. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-447870
Modern Language Association (MLA)
Li, Si-Huan…[et al.]. Sharp Efficiency for Vector Equilibrium Problems on Banach Spaces. Abstract and Applied Analysis No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-447870
American Medical Association (AMA)
Li, Si-Huan& Wang, Qiang& Xu, Shu& Wang, Jun-xiang. Sharp Efficiency for Vector Equilibrium Problems on Banach Spaces. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-447870
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-447870