IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/164978.html

Strong Convergence Algorithms for Hierarchical Fixed Points Problems and Variational Inequalities

Author

Listed:
  • Gendai Gu
  • Shenghua Wang
  • Yeol Je Cho

Abstract

We introduce a new iterative scheme that converges strongly to a common fixed point of a countable family of nonexpansive mappings in a Hilbert space such that the common fixed point is a solution of a hierarchical fixed point problem. Our results extend the ones of Moudafi, Xu, Cianciaruso et al., and Yao et al.

Suggested Citation

  • Gendai Gu & Shenghua Wang & Yeol Je Cho, 2011. "Strong Convergence Algorithms for Hierarchical Fixed Points Problems and Variational Inequalities," Journal of Applied Mathematics, Hindawi, vol. 2011, pages 1-17, September.
    • Handle: RePEc:hin:jnljam:164978
    DOI: 10.1155/2011/164978
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JAM/2011/164978.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JAM/2011/164978.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2011/164978?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. Jittiporn Suwannawit & Narin Petrot, 2013. "Existence Theorems for Quasivariational Inequality Problem on Proximally Smooth Sets," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Feng Lian & Chongzhao Han & Jing Liu & Hui Chen, 2012. "Convergence Results for the Gaussian Mixture Implementation of the Extended‐Target PHD Filter and Its Extended Kalman Filtering Approximation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    3. Yonghong Yao & Yeol Je Cho & Pei-Xia Yang, 2012. "An Iterative Algorithm for a Hierarchical Problem," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    4. Cuijie Zhang & Songnian He, 2012. "Strong Convergence Theorems for the Split Common Fixed Point Problem for Countable Family of Nonexpansive Operators," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    5. Poom Kumam & Thanyarat Jitpeera, 2014. "Strong Convergence of an Iterative Algorithm for Hierarchical Problems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    6. Peiyuan Wang & Hy Zhou, 2014. "Strong Convergence Algorithms of the Split Common Fixed Point Problem for Total Quasi‐Asymptotically Pseudocontractive Operators," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    7. Abdellah Bnouhachem & Abdelouahed Hamdi, 2013. "A New Hybrid Extragradient Iterative Method for Approximating the Common Solutions of a System of Variational Inequalities, a Mixed Equilibrium Problem, and a Hierarchical Fixed Point Problem," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    8. Feng Lian & Chen Li & Chongzhao Han & Hui Chen, 2012. "Convergence Analysis for the SMC‐MeMBer and SMC‐CBMeMBer Filters," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    9. Thanyarat Jitpeera & Anantachai Padcharoen & Wiyada Kumam, 2022. "On New Generalized Viscosity Implicit Double Midpoint Rule for Hierarchical Problem," Mathematics, MDPI, vol. 10(24), pages 1-16, December.

    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:164978. 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.