IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v172y2009i1p277-28910.1007-s10479-009-0607-3.html
   My bibliography  Save this article

First-order optimality conditions and duality results for multi-objective optimisation problems

Author

Listed:
  • S. Askar
  • A. Tiwari

Abstract

In this paper, first-order optimality conditions for certain type of multi-objective optimisation problems are discussed under univexity concept. A number of duality results corresponding to this sort of multi-objective problems are also shown. Copyright Springer Science+Business Media, LLC 2009

Suggested Citation

  • S. Askar & A. Tiwari, 2009. "First-order optimality conditions and duality results for multi-objective optimisation problems," Annals of Operations Research, Springer, vol. 172(1), pages 277-289, November.
    • Handle: RePEc:spr:annopr:v:172:y:2009:i:1:p:277-289:10.1007/s10479-009-0607-3
    DOI: 10.1007/s10479-009-0607-3
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10479-009-0607-3
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10479-009-0607-3?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. Mishra, S. K., 2000. "Multiobjective second order symmetric duality with cone constraints," European Journal of Operational Research, Elsevier, vol. 126(3), pages 675-682, 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. Anurag Jayswal & Shipra Singh & Sarita Choudhury, 2015. "On composite vector variational-like inequalities and vector optimization problems," Computational Management Science, Springer, vol. 12(4), pages 577-594, October.
    2. S. K. Mishra & Vinay Singh & Vivek Laha, 2016. "On duality for mathematical programs with vanishing constraints," Annals of Operations Research, Springer, vol. 243(1), pages 249-272, August.
    3. S. K. Suneja & Sunila Sharma & Priyanka Yadav, 2018. "Generalized higher-order cone-convex functions and higher-order duality in vector optimization," Annals of Operations Research, Springer, vol. 269(1), pages 709-725, October.
    4. Thai Chuong & Do Kim, 2014. "Optimality conditions and duality in nonsmooth multiobjective optimization problems," Annals of Operations Research, Springer, vol. 217(1), pages 117-136, June.
    5. Qingjie Hu & Jiguang Wang & Yu Chen, 2020. "New dualities for mathematical programs with vanishing constraints," Annals of Operations Research, Springer, vol. 287(1), pages 233-255, April.

    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. Mishra, S.K. & Wang, S.Y. & Lai, K.K., 2009. "Symmetric duality for minimax mixed integer programming problems with pseudo-invexity," European Journal of Operational Research, Elsevier, vol. 198(1), pages 37-42, October.
    2. Mishra, S. K. & Wang, S. Y., 2005. "Second order symmetric duality for nonlinear multiobjective mixed integer programming," European Journal of Operational Research, Elsevier, vol. 161(3), pages 673-682, March.
    3. Mishra, S.K., 2006. "Mond-Weir type second order symmetric duality in non-differentiable minimax mixed integer programming problems," European Journal of Operational Research, Elsevier, vol. 170(2), pages 355-362, April.
    4. Ahmad, I. & Husain, Z., 2010. "On multiobjective second order symmetric duality with cone constraints," European Journal of Operational Research, Elsevier, vol. 204(3), pages 402-409, August.
    5. Gulati, T.R. & Saini, Himani & Gupta, S.K., 2010. "Second-order multiobjective symmetric duality with cone constraints," European Journal of Operational Research, Elsevier, vol. 205(2), pages 247-252, September.
    6. Mishra, S.K. & Wang, S.Y. & Lai, K.K. & Yang, F.M., 2007. "Mixed symmetric duality in non-differentiable multiobjective mathematical programming," European Journal of Operational Research, Elsevier, vol. 181(1), pages 1-9, August.
    7. Soleimani-damaneh, M., 2008. "Infinite (semi-infinite) problems to characterize the optimality of nonlinear optimization problems," European Journal of Operational Research, Elsevier, vol. 188(1), pages 49-56, July.
    8. Mishra, S.K. & Lai, K.K., 2007. "Second order symmetric duality in multiobjective programming involving generalized cone-invex functions," European Journal of Operational Research, Elsevier, vol. 178(1), pages 20-26, April.
    9. Chen, Xiuhong, 2004. "Minimax and symmetric duality for a class of multiobjective variational mixed integer programming problems," European Journal of Operational Research, Elsevier, vol. 154(1), pages 71-83, April.
    10. C. Zălinescu, 2016. "On Second-Order Generalized Convexity," Journal of Optimization Theory and Applications, Springer, vol. 168(3), pages 802-829, March.
    11. Suneja, S. K. & Aggarwal, Sunila & Davar, Sonia, 2002. "Multiobjective symmetric duality involving cones," European Journal of Operational Research, Elsevier, vol. 141(3), pages 471-479, September.
    12. Mishra, S.K. & Wang, S.Y. & Lai, K.K., 2007. "Pseudolinear fuzzy mappings," European Journal of Operational Research, Elsevier, vol. 182(2), pages 965-970, October.
    13. Mishra, S. K., 2005. "Non-differentiable higher-order symmetric duality in mathematical programming with generalized invexity," European Journal of Operational Research, Elsevier, vol. 167(1), pages 28-34, 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:annopr:v:172:y:2009:i:1:p:277-289:10.1007/s10479-009-0607-3. 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.