IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/573075.html
   My bibliography  Save this article

Weak Convergence Theorems for Bregman Relatively Nonexpansive Mappings in Banach Spaces

Author

Listed:
  • Chin-Tzong Pang
  • Eskandar Naraghirad
  • Ching-Feng Wen

Abstract

We study Mann type iterative algorithms for finding fixed points of Bregman relatively nonexpansive mappings in Banach spaces. By exhibiting an example, we first show that the class of Bregman relatively nonexpansive mappings embraces properly the class of Bregman strongly nonexpansive mappings which was investigated by Martín-Márques et al. (2013). We then prove weak convergence theorems for the sequences produced by the methods. Some application of our results to the problem of finding a zero of a maximal monotone operator in a Banach space is presented. Our results improve and generalize many known results in the current literature.

Suggested Citation

  • Chin-Tzong Pang & Eskandar Naraghirad & Ching-Feng Wen, 2014. "Weak Convergence Theorems for Bregman Relatively Nonexpansive Mappings in Banach Spaces," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-9, May.
    • Handle: RePEc:hin:jnljam:573075
    DOI: 10.1155/2014/573075
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JAM/2014/573075.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JAM/2014/573075.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/573075?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
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Kanikar Muangchoo & Poom Kumam & Yeol Je Cho & Sompong Dhompongsa & Sakulbuth Ekvittayaniphon, 2019. "Approximating Fixed Points of Bregman Generalized α -Nonexpansive Mappings," Mathematics, MDPI, vol. 7(8), pages 1-28, August.

    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:jnljam:573075. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.