IDEAS home Printed from https://ideas.repec.org/a/hin/ijanal/917158.html
   My bibliography  Save this article

Remarks on -Metric Spaces

Author

Listed:
  • Bessem Samet
  • Calogero Vetro
  • Francesca Vetro

Abstract

In 2005, Mustafa and Sims (2006) introduced and studied a new class of generalized metric spaces, which are called -metric spaces, as a generalization of metric spaces. We establish some useful propositions to show that many fixed point theorems on (nonsymmetric) -metric spaces given recently by many authors follow directly from well-known theorems on metric spaces. Our technique can be easily extended to other results as shown in application.

Suggested Citation

  • Bessem Samet & Calogero Vetro & Francesca Vetro, 2013. "Remarks on -Metric Spaces," International Journal of Analysis, Hindawi, vol. 2013, pages 1-6, January.
    • Handle: RePEc:hin:ijanal:917158
    DOI: 10.1155/2013/917158
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/ANALYSIS/2013/917158.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/ANALYSIS/2013/917158.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/917158?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. Zead Mustafa & Wasfi Shatanawi & Malik Bataineh, 2009. "Existence of Fixed Point Results in ð º -Metric Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2009, pages 1-10, July.
    2. Cristina Di Bari & Calogero Vetro, 2008. "Common Fixed Point Theorems for Weakly Compatible Maps Satisfying a General Contractive Condition," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2008, pages 1-8, October.
    Full references (including those not matched with items on IDEAS)

    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. Shahnaz Jafari & Maryam Shams, 2020. "Fixed point theorems for ϕ-contraction mappings in probabilistic generalized Menger space," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(2), pages 519-532, June.

    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:ijanal:917158. 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: 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.