IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2012y2012i1n965751.html

Iterative Algorithm and Δ‐Convergence Theorems for Total Asymptotically Nonexpansive Mappings in CAT(0) Spaces

Author

Listed:
  • J. F. Tang
  • S. S. Chang
  • H. W. Joseph Lee
  • C. K. Chan

Abstract

The main purpose of this paper is first to introduce the concept of total asymptotically nonexpansive mappings and to prove a Δ‐convergence theorem for finding a common fixed point of the total asymptotically nonexpansive mappings and the asymptotically nonexpansive mappings. The demiclosed principle for this kind of mappings in CAT(0) space is also proved in the paper. Our results extend and improve many results in the literature.

Suggested Citation

  • J. F. Tang & S. S. Chang & H. W. Joseph Lee & C. K. Chan, 2012. "Iterative Algorithm and Δ‐Convergence Theorems for Total Asymptotically Nonexpansive Mappings in CAT(0) Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:965751
    DOI: 10.1155/2012/965751
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2012/965751
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2012/965751?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. A. Kaewcharoen & W. A. Kirk, 2006. "Proximinality in geodesic spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2006(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.

      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:2012:y:2012:i:1:n:965751. 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.