IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2010y2010i1n706587.html

A New Approximation Method for Common Fixed Points of a Finite Family of Generalized Asymptotically Quasinonexpansive Mappings in Banach Spaces

Author

Listed:
  • Pornsak Yatakoat
  • Suthep Suantai

Abstract

We introduce a new iterative scheme to approximate a common fixed point for a finite family of generalized asymptotically quasinonexpansive mappings. Several strong and weak convergence theorems of the proposed iteration in Banach spaces are established. The main results obtianed in this paper generalize and refine many known results in the current literature.

Suggested Citation

  • Pornsak Yatakoat & Suthep Suantai, 2010. "A New Approximation Method for Common Fixed Points of a Finite Family of Generalized Asymptotically Quasinonexpansive Mappings in Banach Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    • Handle: RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:706587
    DOI: 10.1155/2010/706587
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2010/706587
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2010/706587?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. S. Imnang & S. Suantai, 2009. "Common Fixed Points of Multistep Noor Iterations with Errors for a Finite Family of Generalized Asymptotically Quasi‐Nonexpansive Mappings," Abstract and Applied Analysis, John Wiley & Sons, vol. 2009(1).
    2. Satit Saejung & Suthep Suantai & Pongsakorn Yotkaew, 2009. "A Note on “Common Fixed Point of Multistep Noor Iteration with Errors for a Finite Family of Generalized Asymptotically Quasi-Nonexpansive Mappingsâ€," Abstract and Applied Analysis, Hindawi, vol. 2009, pages 1-9, February.
    3. S. Imnang & S. Suantai, 2009. "Common Fixed Points of Multistep Noor Iterations with Errors for a Finite Family of Generalized Asymptotically Quasi-Nonexpansive Mappings," Abstract and Applied Analysis, Hindawi, vol. 2009, pages 1-14, October.
    4. Satit Saejung & Suthep Suantai & Pongsakorn Yotkaew, 2009. "A Note on “Common Fixed Point of Multistep Noor Iteration with Errors for a Finite Family of Generalized Asymptotically Quasi‐Nonexpansive Mappings”," Abstract and Applied Analysis, John Wiley & Sons, vol. 2009(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. Satit Saejung & Suthep Suantai & Pongsakorn Yotkaew, 2009. "A Note on “Common Fixed Point of Multistep Noor Iteration with Errors for a Finite Family of Generalized Asymptotically Quasi‐Nonexpansive Mappings”," Abstract and Applied Analysis, John Wiley & Sons, vol. 2009(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:2010:y:2010:i:1:n:706587. 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.