IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2013y2013i1n165434.html

The Existence of Fixed Point Theorems via w‐Distance and α‐Admissible Mappings and Applications

Author

Listed:
  • Marwan Amin Kutbi
  • Wutiphol Sintunavarat

Abstract

We introduce the concept of the generalized wα‐contraction mappings and establish the existence of fixed point theorem for such mappings by using the properties of w‐distance and α‐admissible mappings. We also apply our result to coincidence point and common fixed point theorems in metric spaces. Further, the fixed point theorems endowed with an arbitrary binary relation are also derived from our results. Our results generalize the result of Kutbi, 2013, and several results in the literature.

Suggested Citation

  • Marwan Amin Kutbi & Wutiphol Sintunavarat, 2013. "The Existence of Fixed Point Theorems via w‐Distance and α‐Admissible Mappings and Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:165434
    DOI: 10.1155/2013/165434
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2013/165434
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/165434?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. Hideaki Kaneko & Salvatore Sessa, 1989. "Fixed point theorems for compatible multi-valued and single-valued mappings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 12, pages 1-6, January.
    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. Özlem Acar & Ishak Altun, 2014. "A Fixed Point Theorem for Multivalued Mappings with δ‐Distance," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(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. Muhammad Shoaib & Muhammad Sarwar, 2016. "Multivalued Fixed Point Theorems for Generalized Contractions and Their Applications," Journal of Mathematics, Hindawi, vol. 2016, pages 1-8, October.
    2. Lucas Wangwe, 2022. "Common Fixed Point Theorem for Multivalued Mappings Using Ternary Relation in G‐Metric Space with an Application," Abstract and Applied Analysis, John Wiley & Sons, vol. 2022(1).
    3. Sunny Chauhan & Muhammad Alamgir Khan & Zoran Kadelburg & Mohammad Imdad, 2014. "Unified Common Fixed Point Theorems for a Hybrid Pair of Mappings via an Implicit Relation Involving Altering Distance Function," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

    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:2013:y:2013:i:1:n:165434. 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.