IDEAS home Printed from https://ideas.repec.org/a/hin/jijmms/261873.html
   My bibliography  Save this article

Generalized set-valued variational-like inclusions and Wiener-Hopf equations in Banach spaces

Author

Listed:
  • Yali Zhao
  • Zunquan Xia
  • Zeqing Liu

Abstract

By using the notion of J η -proximal mapping for a nonconvex, lower semicontinuous, η -subdifferentiable proper functional in reflexive Banach spaces, we introduce and study a class of generalized set-valued variational-like inclusions in Banach spaces and show their equivalences with a class of Wiener-Hopf equations. We propose two new iterative algorithms for the class of generalized set-valued variational-like inclusions. Furthermore, we prove the existence of solutions of the generalized set-valued variational-like inclusions and the convergence criteria of the two iterative algorithms for the generalized set-valued variational-like inclusions in reflexive Banach spaces. The results presented in this paper are new and are an extension of the corresponding results in this direction.

Suggested Citation

  • Yali Zhao & Zunquan Xia & Zeqing Liu, 2005. "Generalized set-valued variational-like inclusions and Wiener-Hopf equations in Banach spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-15, January.
    • Handle: RePEc:hin:jijmms:261873
    DOI: 10.1155/IJMMS.2005.3645
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/IJMMS/2005/261873.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/IJMMS/2005/261873.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/IJMMS.2005.3645?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:jijmms:261873. 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.