IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v7y2019i10p936-d274982.html
   My bibliography  Save this article

Hybrid Methods for a Countable Family of G-Nonexpansive Mappings in Hilbert Spaces Endowed with Graphs

Author

Listed:
  • Suthep Suantai

    (Data Science Research Center, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand)

  • Mana Donganont

    (School of Science, University of Phayao, Phayao 56000, Thailand)

  • Watcharaporn Cholamjiak

    (School of Science, University of Phayao, Phayao 56000, Thailand)

Abstract

In this paper, we introduce the iterative scheme for finding a common fixed point of a countable family of G-nonexpansive mappings by the shrinking projection method which generalizes Takahashi Takeuchi and Kubota’s theorem in a Hilbert space with a directed graph. Simultaneously, we give examples and numerical results for supporting our main theorems and compare the rate of convergence of some examples under the same conditions.

Suggested Citation

  • Suthep Suantai & Mana Donganont & Watcharaporn Cholamjiak, 2019. "Hybrid Methods for a Countable Family of G-Nonexpansive Mappings in Hilbert Spaces Endowed with Graphs," Mathematics, MDPI, vol. 7(10), pages 1-13, October.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:10:p:936-:d:274982
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/7/10/936/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/7/10/936/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Song, Yisheng & Promluang, Khanittha & Kumam, Poom & Je Cho, Yeol, 2016. "Some convergence theorems of the Mann iteration for monotone α-nonexpansive mappings," Applied Mathematics and Computation, Elsevier, vol. 287, pages 74-82.
    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.

      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:gam:jmathe:v:7:y:2019:i:10:p:936-:d:274982. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.