IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2014y2014i1n171624.html

Remarks on Some Recent Fixed Point Results on Quaternion‐Valued Metric Spaces

Author

Listed:
  • Ravi P. Agarwal
  • Hamed H. Alsulami
  • Erdal Karapınar
  • Farshid Khojasteh

Abstract

Very recently, Ahmed et al. introduced the notion of quaternion‐valued metric as a generalization of metric and proved a common fixed point theorem in the context of quaternion‐valued metric space. In this paper, we will show that the quaternion‐valued metric spaces are subspaces of cone metric spaces. Consequently, the fixed point results in such spaces can be derived as a consequence of the corresponding existing fixed point result in the setting cone metric spaces.

Suggested Citation

  • Ravi P. Agarwal & Hamed H. Alsulami & Erdal Karapınar & Farshid Khojasteh, 2014. "Remarks on Some Recent Fixed Point Results on Quaternion‐Valued Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:171624
    DOI: 10.1155/2014/171624
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/171624
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/171624?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. Ahmed El-Sayed Ahmed & Saleh Omran & Abdalla J. Asad, 2014. "Fixed Point Theorems in Quaternion‐Valued Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Wei-Shih Du, 2011. "The Existence of Cone Critical Point and Common Fixed Point with Applications," Journal of Applied Mathematics, John Wiley & Sons, vol. 2011(1).
    3. Ahmed El-Sayed Ahmed & Saleh Omran & Abdalla J. Asad, 2014. "Fixed Point Theorems in Quaternion-Valued Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, March.
    4. Wei-Shih Du, 2011. "The Existence of Cone Critical Point and Common Fixed Point with Applications," Journal of Applied Mathematics, Hindawi, vol. 2011, pages 1-22, October.
    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. Ing-Jer Lin & Wei-Shih Du & Qiao-Feng Zheng, 2014. "Some New Fixed Point Theorems in Complex Valued G‐Metric Spaces," 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. M. De la Sen & E. Karapinar, 2013. "Best Proximity Points of Generalized Semicyclic Impulsive Self‐Mappings: Applications to Impulsive Differential and Difference Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Wei-Shih Du, 2012. "On Approximate Coincidence Point Properties and Their Applications to Fixed Point Theory," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    3. Mila Stojaković & Ljiljana Gajić & Biljana Carić, 2013. "Fixed Point and Subfixed Point for Fuzzy Mappings in Generalized Metric Fuzzy Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(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:2014:y:2014:i:1:n:171624. 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.