IDEAS home Printed from https://ideas.repec.org/a/ids/ijmore/v12y2018i4p457-470.html
   My bibliography  Save this article

Duality for non-differentiable multi-objective semi-infinite programming for higher order invex functions

Author

Listed:
  • Promila Kumar
  • Jyoti

Abstract

This paper deals with non-differentiable multi-objective semi-infinite programming problem. It is a problem of simultaneous minimisation of finitely many scalar valued functions subject to an arbitrary (possibly infinite) set of constraints. Non-differentiability enters, due to the square root of a quadratic form which appears in the objective functional. Concept of efficiency of order m has been extended to the above stated problem. In order to study this new solution concept, the notion of ρ-invexity of order m is also proposed which is utilised to establish sufficient optimality conditions for the non-differentiable multi-objective semi-infinite programming problem. Mond-Weir type of dual is proposed for which weak, strong and strict converse duality theorems are established.

Suggested Citation

  • Promila Kumar & Jyoti, 2018. "Duality for non-differentiable multi-objective semi-infinite programming for higher order invex functions," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 12(4), pages 457-470.
    • Handle: RePEc:ids:ijmore:v:12:y:2018:i:4:p:457-470
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=92105
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    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:ids:ijmore:v:12:y:2018:i:4:p:457-470. 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: Sarah Parker (email available below). General contact details of provider: http://www.inderscience.com/browse/index.php?journalID=320 .

    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.