IDEAS home Printed from https://ideas.repec.org/a/wsi/nmncxx/v16y2020i01ns1793005720500064.html
   My bibliography  Save this article

Modified CQ-Algorithms for G-Nonexpansive Mappings in Hilbert Spaces Involving Graphs

Author

Listed:
  • W. Cholamjiak

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

  • D. Yambangwai

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

  • H. Dutta

    (Department of Mathematics, Gauhati University, Guwahati 781014, India)

  • H. A. Hammad

    (Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt)

Abstract

In this paper, we introduce four new iterative schemes by modifying the CQ-method with Ishikawa and S-iterations. The strong convergence theorems are given by the CQ-projection method with our modified iterations for obtaining a common fixed point of two G-nonexpansive mappings in a Hilbert space with a directed graph. Finally, to compare the rate of convergence and support our main theorems, we give some numerical experiments.

Suggested Citation

  • W. Cholamjiak & D. Yambangwai & H. Dutta & H. A. Hammad, 2020. "Modified CQ-Algorithms for G-Nonexpansive Mappings in Hilbert Spaces Involving Graphs," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 16(01), pages 89-103, March.
    • Handle: RePEc:wsi:nmncxx:v:16:y:2020:i:01:n:s1793005720500064
    DOI: 10.1142/S1793005720500064
    as

    Download full text from publisher

    File URL: https://www.worldscientific.com/doi/abs/10.1142/S1793005720500064
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S1793005720500064?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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:wsi:nmncxx:v:16:y:2020:i:01:n:s1793005720500064. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/nmnc/nmnc.shtml .

    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.