IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/678946.html
   My bibliography  Save this article

Convergence of Common Random Fixed Point of Finite Family of Asymptotically Quasi-Nonexpansive-Type Mappings by an Implicit Random Iterative Scheme

Author

Listed:
  • A. S. Saluja
  • Pankaj kumar Jhade

Abstract

We introduce a new implicit random iteration process generated by a finite family of asymptotically quasi-nonexpansive-type mappings and study necessary and sufficient conditions for the convergence of this process in a uniformly convex Banach space. The results presented in this paper extend and improve the recent ones announced by Plubtieng et al. (2007), Beg and Thakur (2009), and Saluja and Nashine (2012).

Suggested Citation

  • A. S. Saluja & Pankaj kumar Jhade, 2013. "Convergence of Common Random Fixed Point of Finite Family of Asymptotically Quasi-Nonexpansive-Type Mappings by an Implicit Random Iterative Scheme," Journal of Mathematics, Hindawi, vol. 2013, pages 1-9, April.
    • Handle: RePEc:hin:jjmath:678946
    DOI: 10.1155/2013/678946
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JMATH/2013/678946.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JMATH/2013/678946.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/678946?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. Somyot Plubtieng & Poom Kumam & Rabian Wangkeeree, 2007. "Approximation of a Common Random Fixed Point for a Finite Family of Random Operators," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2007, pages 1-12, August.
    2. Binayak S. Choudhury, 1995. "Convergence of a random iteration scheme to a random fixed point," International Journal of Stochastic Analysis, Hindawi, vol. 8, pages 1-4, January.
    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:jjmath:678946. 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.