IDEAS home Printed from https://ideas.repec.org/p/ins/quaeco/qf0902.html
   My bibliography  Save this paper

Higher-order conditions for strict efficiency revisited

Author

Listed:
  • Ivan Ginchev

    (Department of Economics, University of Insubria, Italy)

Abstract

D. V. Luu and P. T. Kien propose in Soochow J. Math. 33 (2007), 17-31, higher-order conditions for strict efficiency of vector optimization problems based on the derivatives introduced by I. Ginchev in Optimization 51 (2002), 47-72. These derivatives are defined for scalar functions and in their terms necessary and sufficient conditions can be obtained a point to be strictly efficient (isolated) minimizer of a given order for quite arbitrary scalar function. Passing to vector functions, Luu and Kien lose the peculiarity that the optimality conditions work with arbitrary functions. In the present paper, applying the mentioned derivatives for the scalarized problem and restoring the original idea, optimality conditions for strictly efficiency of a given order are proposed, which work with quite arbitrary vector functions. It is shown that the results of Luu and Kien are corollaries of the given conditions. Key words: nonsmooth vector optimization, higher-order optimality conditions, strict efficiency, isolated minimizers.

Suggested Citation

  • Ivan Ginchev, 2009. "Higher-order conditions for strict efficiency revisited," Economics and Quantitative Methods qf0902, Department of Economics, University of Insubria.
    • Handle: RePEc:ins:quaeco:qf0902
    as

    Download full text from publisher

    File URL: https://www.eco.uninsubria.it/RePEc/pdf/QF2009_4.pdf
    Download Restriction: no
    ---><---

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ins:quaeco:qf0902. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Segreteria Dipartimento (email available below). General contact details of provider: https://edirc.repec.org/data/feinsit.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.