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    Super-efficiency vector optimization in Banach spaces

    Access Status
    Open access via publisher
    Authors
    Zheng, X.
    Yang, X.
    Teo, Kok
    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
    10.1016/j.jmaa.2006.04.052
    ISSN
    0022247X
    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
    http://hdl.handle.net/20.500.11937/23537
    Collection
    • Curtin Research Publications
    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.

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