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    Characterizations of Nonsmooth Robustly Quasiconvex Functions

    81404.pdf (255.4Kb)
    Access Status
    Open access
    Authors
    Bui, Hoa
    Khanh, P.D.
    Tran, T.T.T.
    Date
    2019
    Type
    Journal Article
    
    Metadata
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    Citation
    Bui, H.T. and Khanh, P.D. and Tran, T.T.T. 2019. Characterizations of Nonsmooth Robustly Quasiconvex Functions. Journal of Optimization Theory and Applications. 180 (3): pp. 775-786.
    Source Title
    Journal of Optimization Theory and Applications
    DOI
    10.1007/s10957-018-1421-3
    ISSN
    0022-3239
    Faculty
    Faculty of Science and Engineering
    School
    School of Electrical Engineering, Computing and Mathematical Sciences (EECMS)
    Remarks

    This is a post-peer-review, pre-copyedit version of an article published in Characterizations of Nonsmooth Robustly Quasiconvex Functions. The final authenticated version is available online at: http://doi.org/10.1007/s10957-018-1421-3

    URI
    http://hdl.handle.net/20.500.11937/81340
    Collection
    • Curtin Research Publications
    Abstract

    © 2018, Springer Science+Business Media, LLC, part of Springer Nature. Two criteria for the robust quasiconvexity of lower semicontinuous functions are established in terms of Fréchet subdifferentials in Asplund spaces. The first criterion extends to such spaces a result established by Barron et al. (Discrete Contin Dyn Syst Ser B 17:1693–1706, 2012). The second criterion is totally new even if it is applied to lower semicontinuous functions on finite-dimensional spaces.

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