IDEAS home Printed from https://ideas.repec.org/a/hin/jnlaaa/513678.html
   My bibliography  Save this article

Strong and Weak Convergence Criteria of Composite Iterative Algorithms for Systems of Generalized Equilibria

Author

Listed:
  • Lu-Chuan Ceng
  • Cheng-Wen Liao
  • Chin-Tzong Pang
  • Ching-Feng Wen
  • Zhao-Rong Kong

Abstract

We first introduce and analyze one iterative algorithm by using the composite shrinking projection method for finding a solution of the system of generalized equilibria with constraints of several problems: a generalized mixed equilibrium problem, finitely many variational inequalities, and the common fixed point problem of an asymptotically strict pseudocontractive mapping in the intermediate sense and infinitely many nonexpansive mappings in a real Hilbert space. We prove a strong convergence theorem for the iterative algorithm under suitable conditions. On the other hand, we also propose another iterative algorithm involving no shrinking projection method and derive its weak convergence under mild assumptions. Our results improve and extend the corresponding results in the earlier and recent literature.

Suggested Citation

  • Lu-Chuan Ceng & Cheng-Wen Liao & Chin-Tzong Pang & Ching-Feng Wen & Zhao-Rong Kong, 2014. "Strong and Weak Convergence Criteria of Composite Iterative Algorithms for Systems of Generalized Equilibria," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-25, March.
    • Handle: RePEc:hin:jnlaaa:513678
    DOI: 10.1155/2014/513678
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AAA/2014/513678.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AAA/2014/513678.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/513678?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:jnlaaa:513678. 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.