IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2014y2014i1n152530.html

On Mann’s Method with Viscosity for Nonexpansive and Nonspreading Mappings in Hilbert Spaces

Author

Listed:
  • Nawab Hussain
  • Giuseppe Marino
  • Afrah A. N. Abdou

Abstract

In the setting of Hilbert spaces, inspired by Iemoto and Takahashi (2009), we study a Mann’s method with viscosity to approximate strongly (common) fixed points of a nonexpansive mapping and a nonspreading mapping. A crucial tool in our results is the nonspreading‐average type mapping.

Suggested Citation

  • Nawab Hussain & Giuseppe Marino & Afrah A. N. Abdou, 2014. "On Mann’s Method with Viscosity for Nonexpansive and Nonspreading Mappings in Hilbert Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:152530
    DOI: 10.1155/2014/152530
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/152530
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/152530?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. Bin-Chao Deng & Tong Chen & Zhi-Fang Li, 2012. "Cyclic Iterative Method for Strictly Pseudononspreading in Hilbert Space," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-15, July.
    2. Bin-Chao Deng & Tong Chen & Zhi-Fang Li, 2012. "Cyclic Iterative Method for Strictly Pseudononspreading in Hilbert Space," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    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.
    1. Shubo Cao, 2013. "The Split Common Fixed Point Problem for ϱ‐Strictly Pseudononspreading Mappings," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).

    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:wly:jnlaaa:v:2014:y:2014:i:1:n:152530. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4058 .

    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.