IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v7y2019i5p379-d226148.html
   My bibliography  Save this article

Generalized Viscosity Implicit Iterative Process for Asymptotically Non-Expansive Mappings in Banach Spaces

Author

Listed:
  • Chanjuan Pan

    (Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China)

  • Yuanheng Wang

    (Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China
    Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China)

Abstract

In this paper, we propose a generalized viscosity implicit iterative method for asymptotically non-expansive mappings in Banach spaces. The strong convergence theorem of this algorithm is proved, which solves the variational inequality problem. Moreover, we provide some applications to zero-point problems and equilibrium problems. Further, a numerical example is given to illustrate our convergence analysis. The results generalize and improve corresponding results in the literature.

Suggested Citation

  • Chanjuan Pan & Yuanheng Wang, 2019. "Generalized Viscosity Implicit Iterative Process for Asymptotically Non-Expansive Mappings in Banach Spaces," Mathematics, MDPI, vol. 7(5), pages 1-13, April.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:5:p:379-:d:226148
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/7/5/379/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/7/5/379/
    Download Restriction: no
    ---><---

    Citations

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


    Cited by:

    1. Nattakarn Kaewyong & Kanokwan Sitthithakerngkiet, 2021. "Modified Tseng’s Method with Inertial Viscosity Type for Solving Inclusion Problems and Its Application to Image Restoration Problems," Mathematics, MDPI, vol. 9(10), pages 1-15, May.
    2. Yuanheng Wang & Cancan Li & Lirong Lu, 2020. "A New Algorithm for the Common Solutions of a Generalized Variational Inequality System and a Nonlinear Operator Equation in Banach Spaces," Mathematics, MDPI, vol. 8(11), pages 1-21, November.

    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:5:p:379-:d:226148. 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: 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.