IDEAS home Printed from https://ideas.repec.org/a/hin/jnlamp/5127277.html
   My bibliography  Save this article

An Approximation Method for Variational Inequality with Uncertain Variables

Author

Listed:
  • Cunlin Li
  • Hongyu Zhang
  • Rui Yuan
  • Yee Hooi Min
  • Tzu-Chien Yin
  • Andrei Mironov

Abstract

In this paper, a Stieltjes integral approximation method for uncertain variational inequality problem (UVIP) is studied. Firstly, uncertain variables are introduced on the basis of variational inequality. Since the uncertain variables are based on nonadditive measures, there is usually no density function. Secondly, the expected value model of UVIP is established after the expected value is discretized by the Stieltjes integral. Furthermore, a gap function is constructed to transform UVIP into an uncertain constraint optimization problem, and the optimal value of the constraint problem is proved to be the solution of UVIP. Finally, the convergence of solutions of the Stieltjes integral discretization approximation problem is proved.

Suggested Citation

  • Cunlin Li & Hongyu Zhang & Rui Yuan & Yee Hooi Min & Tzu-Chien Yin & Andrei Mironov, 2023. "An Approximation Method for Variational Inequality with Uncertain Variables," Advances in Mathematical Physics, Hindawi, vol. 2023, pages 1-11, April.
    • Handle: RePEc:hin:jnlamp:5127277
    DOI: 10.1155/2023/5127277
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/amp/2023/5127277.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/amp/2023/5127277.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2023/5127277?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
    ---><---

    More about this item

    Statistics

    Access and download statistics

    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:hin:jnlamp:5127277. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.