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    New Generalized Second-Order Contingent Epiderivatives and Set-Valued Optimization Problems

    Access Status
    Fulltext not available
    Authors
    Li, S
    Zhu, S
    Teo, Kok Lay
    Date
    2012
    Type
    Journal Article
    
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    Abstract

    In this paper, we introduce the concept of a generalized second-order composed contingent epiderivative for set-valued maps and discuss its relationship to the generalized second-order contingent epiderivative. We also investigate some of its properties. Then, by virtue of the generalized second-order composed contingent epiderivative, we establish a unified second-order sufficient and necessary optimality condition for set-valued optimization problems, which is a generalization of the corresponding results in the literature.

    Citation
    Li, S.J. and Zhu, S.K. and Teo, K.L. 2012. New Generalized Second-Order Contingent Epiderivatives and Set-Valued Optimization Problems. Journal of Optimization Theory and Applications 152: pp. 587-604.
    Source Title
    Journal of Optimization Theory and Applications
    DOI
    10.1007/s10957-011-9915-2
    ISSN
    0022-3239
    URI
    http://hdl.handle.net/20.500.11937/19235
    Collection
    • Curtin Research Publications

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