IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i3p316-d729393.html
   My bibliography  Save this article

On the Existence of Super Efficient Solutions and Optimality Conditions for Set-Valued Vector Optimization Problems

Author

Listed:
  • Lu-Chuan Ceng

    (Department of Mathematics, Shanghai Normal University, Shanghai 200234, China)

  • Ching-Feng Wen

    (Center for Fundamental Science, and Research Center for Nonlinear Analysis and Optimization, Kaohsiung Medical University, Kaohsiung 80708, Taiwan
    Department of Medical Research, Kaohsiung Medical University Hospital, Kaohsiung 80708, Taiwan)

  • Yeong-Cheng Liou

    (Department of Medical Research, Kaohsiung Medical University Hospital, Kaohsiung 80708, Taiwan
    Department of Healthcare Administration and Medical Informatics and Research Center of Nonlinear Analysis and Optimization, Kaohsiung Medical University, Kaohsiung 807, Taiwan)

Abstract

In this paper, by using the normal subdifferential and equilibrium-like function we first obtain some properties for K -preinvex set-valued maps. Secondly, in terms of this equilibrium-like function, we establish some sufficient conditions for the existence of super minimal points of a K -preinvex set-valued map, that is, super efficient solutions of a set-valued vector optimization problem, and also attain necessity optimality terms for a general type of super efficiency.

Suggested Citation

  • Lu-Chuan Ceng & Ching-Feng Wen & Yeong-Cheng Liou, 2022. "On the Existence of Super Efficient Solutions and Optimality Conditions for Set-Valued Vector Optimization Problems," Mathematics, MDPI, vol. 10(3), pages 1-14, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:3:p:316-:d:729393
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/3/316/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/3/316/
    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:gam:jmathe:v:10:y:2022:i:3:p:316-:d:729393. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.