IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v205y2025i1d10.1007_s10957-025-02638-z.html
   My bibliography  Save this article

Qualitative Properties of Robust Benson Efficient Solutions of Uncertain Vector Optimization Problems

Author

Listed:
  • Lam Quoc Anh

    (Can Tho University)

  • Vo Thi Mong Thuy

    (University of Science
    Vietnam National University
    Tay Do University)

  • Xiaopeng Zhao

    (Tiangong University)

Abstract

In this paper, we consider both unconstrained and constrained uncertain vector optimization problems involving free disposal sets, and study the qualitative properties of their robust Benson efficient solutions. First, we discuss necessary and sufficient optimality conditions for the robust Benson efficient solutions of these problems using the linear scalarization method. Then, by utilizing this approach, we investigate the semicontinuity properties of the solution maps when the problem data is perturbed by parameters given in parameter spaces. Finally, we suggest concepts of approximate robust Benson efficient solutions and investigate Hausdorff well-posedness conditions for such problems with respect to these approximate solutions. Several examples are provided to illustrate the applicability and novelty of the results obtained in this study.

Suggested Citation

  • Lam Quoc Anh & Vo Thi Mong Thuy & Xiaopeng Zhao, 2025. "Qualitative Properties of Robust Benson Efficient Solutions of Uncertain Vector Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 205(1), pages 1-37, April.
    • Handle: RePEc:spr:joptap:v:205:y:2025:i:1:d:10.1007_s10957-025-02638-z
    DOI: 10.1007/s10957-025-02638-z
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10957-025-02638-z
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10957-025-02638-z?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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:spr:joptap:v:205:y:2025:i:1:d:10.1007_s10957-025-02638-z. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.