IDEAS home Printed from https://ideas.repec.org/a/hin/jijmms/734082.html
   My bibliography  Save this article

Strong Convergence Theorems for Family of Nonexpansive Mappings and System of Generalized Mixed Equilibrium Problems and Variational Inequality Problems

Author

Listed:
  • Yekini Shehu

Abstract

We introduce a new iterative scheme by hybrid method for finding a common element of the set of common fixed points of infinite family of nonexpansive mappings, the set of common solutions to a system of generalized mixed equilibrium problems, and the set of solutions to a variational inequality problem in a real Hilbert space. We then prove strong convergence of the scheme to a common element of the three sets. We give some applications of our results. Our results extend important recent results.

Suggested Citation

  • Yekini Shehu, 2011. "Strong Convergence Theorems for Family of Nonexpansive Mappings and System of Generalized Mixed Equilibrium Problems and Variational Inequality Problems," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2011, pages 1-22, April.
    • Handle: RePEc:hin:jijmms:734082
    DOI: 10.1155/2011/734082
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/IJMMS/2011/734082.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/IJMMS/2011/734082.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2011/734082?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
    ---><---

    References listed on IDEAS

    as
    1. Rabian Wangkeeree & Rattanaporn Wangkeeree, 2009. "The Shrinking Projection Method for Solving Variational Inequality Problems and Fixed Point Problems in Banach Spaces," Abstract and Applied Analysis, Hindawi, vol. 2009, pages 1-26, November.
    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.

      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:734082. 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: 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.