IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v311y2022i2d10.1007_s10479-020-03579-8.html
   My bibliography  Save this article

On a global efficiency criterion in multiobjective variational control problems with path-independent curvilinear integral cost functionals

Author

Listed:
  • Savin Treanţă

    (University Politehnica of Bucharest)

Abstract

In this paper, a global efficiency criterion is established for a class of multidimensional variational control problems governed by first order PDE&PDI constraints and path-independent curvilinear integral cost functionals. More precisely, a minimal efficiency criterion for a local efficient solution to be its global efficient solution in the considered optimization problem is formulated and proved. Also, the theoretical developments derived in the paper are accompanied by an example of a nonconvex optimization problem.

Suggested Citation

  • Savin Treanţă, 2022. "On a global efficiency criterion in multiobjective variational control problems with path-independent curvilinear integral cost functionals," Annals of Operations Research, Springer, vol. 311(2), pages 1249-1257, April.
    • Handle: RePEc:spr:annopr:v:311:y:2022:i:2:d:10.1007_s10479-020-03579-8
    DOI: 10.1007/s10479-020-03579-8
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10479-020-03579-8
    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/s10479-020-03579-8?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. Pankaj Gupta & Riccardo Cambini & S. S. Appadoo, 2018. "Recent advances in optimization theory and applications (RAOTA-2016)," Annals of Operations Research, Springer, vol. 269(1), pages 1-2, October.
    2. Manuel Arana-Jiménez & Riccardo Cambini & Laura Carosi, 2018. "A reduced formulation for pseudoinvex vector functions," Annals of Operations Research, Springer, vol. 269(1), pages 21-27, October.
    3. Zang, I. & Choo, E.U. & Avriel, M., 1977. "On functions whose stationary points are global minima," LIDAM Reprints CORE 308, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    Full references (including those not matched with items on IDEAS)

    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. Savin Treanţă, 2019. "On Locally and Globally Optimal Solutions in Scalar Variational Control Problems," Mathematics, MDPI, vol. 7(9), pages 1-8, September.
    2. X. F. Li & J. L. Dong, 1999. "Subvexormal Functions and Subvex Functions," Journal of Optimization Theory and Applications, Springer, vol. 103(3), pages 675-704, December.
    3. J.P. Penot, 2003. "Characterization of Solution Sets of Quasiconvex Programs," Journal of Optimization Theory and Applications, Springer, vol. 117(3), pages 627-636, June.
    4. Savin Treanţă, 2021. "On a Class of Constrained Interval-Valued Optimization Problems Governed by Mechanical Work Cost Functionals," Journal of Optimization Theory and Applications, Springer, vol. 188(3), pages 913-924, March.

    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:311:y:2022:i:2:d:10.1007_s10479-020-03579-8. 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.