IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v126y2005i1d10.1007_s10957-005-2654-5.html
   My bibliography  Save this article

Modified Ratio Objective Approach in Mathematical Programming

Author

Listed:
  • T. Antczak

    (University of Łódź)

Abstract

A new approach to obtaining the optimality conditions for fractional mathematical programming problems involving one objective ratio in the objective function is considered. Using this approach, an equivalent optimization problem is constructed by a modification of the single-ratio objective function in the fractional programming problem. Furthermore, an η-Lagrange function is introduced for a constructed optimization problem and modified saddle-point results are presented.

Suggested Citation

  • T. Antczak, 2005. "Modified Ratio Objective Approach in Mathematical Programming," Journal of Optimization Theory and Applications, Springer, vol. 126(1), pages 23-40, July.
    • Handle: RePEc:spr:joptap:v:126:y:2005:i:1:d:10.1007_s10957-005-2654-5
    DOI: 10.1007/s10957-005-2654-5
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10957-005-2654-5
    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/s10957-005-2654-5?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Hachem Slimani & Mohammed-Said Radjef, 2016. "Generalized Fritz John optimality in nonlinear programming in the presence of equality and inequality constraints," Operational Research, Springer, vol. 16(2), pages 349-364, July.
    2. Ariana Pitea & Mihai Postolache, 2012. "Duality theorems for a new class of multitime multiobjective variational problems," Journal of Global Optimization, Springer, vol. 54(1), pages 47-58, September.
    3. Jia Chen & Yeol Cho & Jong Kim & Jun Li, 2011. "Multiobjective optimization problems with modified objective functions and cone constraints and applications," Journal of Global Optimization, Springer, vol. 49(1), pages 137-147, January.

    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:126:y:2005:i:1:d:10.1007_s10957-005-2654-5. 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.