View Item 

Super-efficiency vector optimization in Banach spaces

Access Status
Open access via publisher
Authors
Date
2007
Type
Journal Article

Metadata
Show full item record
Citation
Zheng, X. and Yang, X. and Teo, Kok Lay. 2007. Super-efficiency vector optimization in Banach spaces. Journal of Mathematical Analysis and Applications. 327 (1): pp. 453-460.
Source Title
Journal of Mathematical Analysis and Applications
DOI
ISSN
Faculty
Department of Mathematics and Statistics
School of Science
Faculty of Science and Engineering
Remarks

The link to the journal's home page is: http://www.sciencedirect.com/science/journal/0022247X

Copyright © 2007 Elsevier Inc. All rights reserved.

URI
Collection
Abstract

Using variational analysis, in terms of the Clarke normal cone, we consider super-efficiency of vector optimization in Banach spaces. We establish some characterizations for super-efficiency. In particular, dropping the assumption that the ordering cone has a bounded base, we extend a result in Borwein and Zhuang [J.M. Borwein, D. Zhuang, Super-efficiency in vector optimization, Trans. Amer. Math. Soc. 338 (1993) 105-122] to the nonconvex setting.