IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2014y2014i1n805168.html

Strong and Δ‐Convergence Theorems for Common Fixed Points of a Finite Family of Multivalued Demicontractive Mappings in CAT(0) Spaces

Author

Listed:
  • C. E. Chidume
  • A. U. Bello
  • P. Ndambomve

Abstract

Let K be a nonempty closed and convex subset of a complete CAT(0) space. Let Ti : K → CB(K), i = 1,2, …,m, be a family of multivalued demicontractive mappings such that F:=⋂i=1mF(Ti)≠∅. A Krasnoselskii‐type iterative sequence is shown to Δ‐converge to a common fixed point of the family {Ti, i = 1,2, …, m}. Strong convergence theorems are also proved under some additional conditions. Our theorems complement and extend several recent important results on approximation of fixed points of certain nonlinear mappings in CAT(0) spaces. Furthermore, our method of the proof is of special interest.

Suggested Citation

  • C. E. Chidume & A. U. Bello & P. Ndambomve, 2014. "Strong and Δ‐Convergence Theorems for Common Fixed Points of a Finite Family of Multivalued Demicontractive Mappings in CAT(0) Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:805168
    DOI: 10.1155/2014/805168
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/805168
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/805168?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
    ---><---

    References listed on IDEAS

    as
    1. C. E. Chidume & C. O. Chidume & N. Djitté & M. S. Minjibir, 2013. "Convergence Theorems for Fixed Points of Multivalued Strictly Pseudocontractive Mappings in Hilbert Spaces," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-10, May.
    2. C. E. Chidume & C. O. Chidume & N. Djitté & M. S. Minjibir, 2013. "Convergence Theorems for Fixed Points of Multivalued Strictly Pseudocontractive Mappings in Hilbert Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. P. V. Ndlovu & L. O. Jolaoso & Maggie Aphane, 2022. "Strong Convergence Theorem for Finding a Common Solution of Convex Minimization and Fixed Point Problems in CAT(0) Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2022(1).

    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.
    1. F. O. Isiogugu, 2016. "Approximation of a Common Element of the Fixed Point Sets of Multivalued Strictly Pseudocontractive‐Type Mappings and the Set of Solutions of an Equilibrium Problem in Hilbert Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2016(1).
    2. N. Djitte & M. Sene, 2014. "Convergence Theorems for Fixed Points of Multivalued Mappings in Hilbert Spaces," International Journal of Analysis, Hindawi, vol. 2014, pages 1-7, September.

    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:wly:jnlaaa:v:2014:y:2014:i:1:n:805168. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4058 .

    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.