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    Minimum recession-compatible subsets of closed convex sets

    200387_114446_81768_publication.pdf (107.1Kb)
    Access Status
    Open access
    Authors
    He, Y.
    Sun, Jie
    Date
    2012
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    He, Y. and Sun, J. 2012. Minimum recession-compatible subsets of closed convex sets. Journal of Global Optimization. 52 (2): pp. 253-263.
    Source Title
    Journal of Global Optimization
    DOI
    10.1007/s10898-011-9662-9
    ISSN
    09255001
    Remarks

    The final publication is available at Springer via http://doi.org/10.1007/s10898-011-9662-9.

    URI
    http://hdl.handle.net/20.500.11937/19910
    Collection
    • Curtin Research Publications
    Abstract

    A subset B of a closed convex set A is recession-compatible with respect to A if A can be expressed as the Minkowski sum of B and the recession cone of A. We show that if A contains no line, then there exists a recession-compatible subset of A that is minimal with respect to set inclusion. The proof only uses basic facts of convex analysis and does not depend on Zorn’s Lemma. An application of this result to the error bound theory in optimization is presented.

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