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Super-efficiency vector optimization in Banach spaces

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Open access via publisher
Authors
Zheng, X.
Yang, X.
Teo, Kok
Date
2007
Type
Journal Article

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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
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Faculty
Department of Mathematics and Statistics
School of Science
Faculty of Science and Engineering
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The link to the journal's home page is: http://www.sciencedirect.com/science/journal/0022247X

Copyright © 2007 Elsevier Inc. All rights reserved.

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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.