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    Extremality, Stationarity and Generalized Separation of Collections of Sets

    81403.pdf (324.8Kb)
    Access Status
    Open access
    Authors
    Bui, Hoa
    Kruger, A.Y.
    Date
    2019
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Bui, H.T. and Kruger, A.Y. 2019. Extremality, Stationarity and Generalized Separation of Collections of Sets. Journal of Optimization Theory and Applications. 182 (1): pp. 211-264.
    Source Title
    Journal of Optimization Theory and Applications
    DOI
    10.1007/s10957-018-01458-8
    ISSN
    0022-3239
    Faculty
    Faculty of Science and Engineering
    School
    School of Electrical Engineering, Computing and Mathematical Sciences (EECMS)
    Funding and Sponsorship
    http://purl.org/au-research/grants/arc/DP160100854
    Remarks

    This is a post-peer-review, pre-copyedit version of an article published in Journal of Optimization Theory and Applications. The final authenticated version is available online at: http://doi.org/10.1007/s10957-018-01458-8.

    URI
    http://hdl.handle.net/20.500.11937/81339
    Collection
    • Curtin Research Publications
    Abstract

    © 2018, Springer Science+Business Media, LLC, part of Springer Nature. The core arguments used in various proofs of the extremal principle and its extensions as well as in primal and dual characterizations of approximate stationarity and transversality of collections of sets are exposed, analysed and refined, leading to a unifying theory, encompassing all existing approaches to obtaining ‘extremal’ statements. For that, we examine and clarify quantitative relationships between the parameters involved in the respective definitions and statements. Some new characterizations of extremality properties are obtained.

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