IDEAS home Printed from https://ideas.repec.org/a/spr/opsear/v53y2016i3d10.1007_s12597-015-0243-4.html
   My bibliography  Save this article

Weak efficiency of higher order for multiobjective fractional variational problem

Author

Listed:
  • Promila Kumar

    (University of Delhi)

  • Bharti Sharma

    (University of Delhi)

Abstract

The notion of weak efficiency of higher order for multiobjective fractional variational problem has been introduced. Examples are presented to illustrate this new solution concept. ρ-invexity is extended to ρ-invexity of higher order. Four generalizations of ρ-invexity of higher order are given. It is shown with the help of examples that this new class of ρ-invex functionals of higher order is larger than the existing class of functionals. Sufficient optimality conditions are proved under newly defined generalized ρ−invexity assumptions on the functionals involved. Parametric dual for multiobjective fractional variational problem is proposed for which weak duality theorem is proved. Further, we introduce weighted variational parametric problem to prove strong duality theorem.

Suggested Citation

  • Promila Kumar & Bharti Sharma, 2016. "Weak efficiency of higher order for multiobjective fractional variational problem," OPSEARCH, Springer;Operational Research Society of India, vol. 53(3), pages 538-552, September.
    • Handle: RePEc:spr:opsear:v:53:y:2016:i:3:d:10.1007_s12597-015-0243-4
    DOI: 10.1007/s12597-015-0243-4
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s12597-015-0243-4
    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/s12597-015-0243-4?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.

    References listed on IDEAS

    as
    1. M. Arana-Jiménez & G. Ruiz-Garzón & A. Rufián-Lizana & R. Osuna-Gómez, 2012. "Weak efficiency in multiobjective variational problems under generalized convexity," Journal of Global Optimization, Springer, vol. 52(1), pages 109-121, January.
    2. M. Arana Jiménez & F. Ortegón Gallego, 2013. "Duality and Weak Efficiency in Vector Variational Problems," Journal of Optimization Theory and Applications, Springer, vol. 159(2), pages 547-553, November.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Promila Kumar & Bharti Sharma & Jyoti Dagar, 2017. "Multi-objective semi-infinite variational problem and generalized invexity," OPSEARCH, Springer;Operational Research Society of India, vol. 54(3), pages 580-597, September.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Promila Kumar & Bharti Sharma & Jyoti Dagar, 2017. "Multi-objective semi-infinite variational problem and generalized invexity," OPSEARCH, Springer;Operational Research Society of India, vol. 54(3), pages 580-597, September.
    2. M. Arana Jiménez & F. Ortegón Gallego, 2013. "Duality and Weak Efficiency in Vector Variational Problems," Journal of Optimization Theory and Applications, Springer, vol. 159(2), pages 547-553, November.

    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:opsear:v:53:y:2016:i:3:d:10.1007_s12597-015-0243-4. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.