IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/927530.html
   My bibliography  Save this article

Applications of Fixed-Point and Optimization Methods to the Multiple-Set Split Feasibility Problem

Author

Listed:
  • Yonghong Yao
  • Rudong Chen
  • Giuseppe Marino
  • Yeong Cheng Liou

Abstract

The multiple-set split feasibility problem requires finding a point closest to a family of closed convex sets in one space such that its image under a linear transformation will be closest to another family of closed convex sets in the image space. It can be a model for many inverse problems where constraints are imposed on the solutions in the domain of a linear operator as well as in the operator’s range. It generalizes the convex feasibility problem as well as the two-set split feasibility problem. In this paper, we will review and report some recent results on iterative approaches to the multiple-set split feasibility problem.

Suggested Citation

  • Yonghong Yao & Rudong Chen & Giuseppe Marino & Yeong Cheng Liou, 2012. "Applications of Fixed-Point and Optimization Methods to the Multiple-Set Split Feasibility Problem," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-21, April.
    • Handle: RePEc:hin:jnljam:927530
    DOI: 10.1155/2012/927530
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JAM/2012/927530.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JAM/2012/927530.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2012/927530?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:jnljam:927530. 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.