IDEAS home Printed from https://ideas.repec.org/a/spr/fuzinf/v5y2013i4d10.1007_s12543-013-0155-z.html
   My bibliography  Save this article

Best proximity point results in non-Archimedean fuzzy metric spaces

Author

Listed:
  • Calogero Vetro

    (Università degli Studi di Palermo)

  • Peyman Salimi

    (Islamic Azad University)

Abstract

We consider the problem of finding a best proximity point which achieves the minimum distance between two nonempty sets in a non-Archimedean fuzzy metric space. First we prove the existence and uniqueness of the best proximity point by using different contractive conditions, then we present some examples to support our best proximity point theorems.

Suggested Citation

  • Calogero Vetro & Peyman Salimi, 2013. "Best proximity point results in non-Archimedean fuzzy metric spaces," Fuzzy Information and Engineering, Springer, vol. 5(4), pages 417-429, December.
  • Handle: RePEc:spr:fuzinf:v:5:y:2013:i:4:d:10.1007_s12543-013-0155-z
    DOI: 10.1007/s12543-013-0155-z
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s12543-013-0155-z
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s12543-013-0155-z?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. S. Basha, 2012. "Discrete optimization in partially ordered sets," Journal of Global Optimization, Springer, vol. 54(3), pages 511-517, November.
    2. S. Sadiq Basha, 2012. "Common best proximity points: global minimization of multi-objective functions," Journal of Global Optimization, Springer, vol. 54(2), pages 367-373, October.
    3. S. Sadiq Basha & N. Shahzad & R. Jeyaraj, 2013. "Best proximity point theorems: exposition of a significant non-linear programming problem," Journal of Global Optimization, Springer, vol. 56(4), pages 1699-1705, August.
    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. Mi Zhou & Naeem Saleem & Antonio Francisco Roldán López de Hierro & Xiaolan Liu, 2022. "Best Proximity Point Theorems without Fuzzy P -Property for Several ( ψ − ϕ )-Weak Contractions in Non-Archimedean Fuzzy Metric Spaces," Mathematics, MDPI, vol. 10(21), pages 1-27, October.
    2. Naeem Saleem & Mujahid Abbas & Manuel De la Sen, 2019. "Optimal Approximate Solution of Coincidence Point Equations in Fuzzy Metric Spaces," Mathematics, MDPI, vol. 7(4), pages 1-13, April.
    3. Manuel De la Sen & Mujahid Abbas & Naeem Saleem, 2017. "On Optimal Fuzzy Best Proximity Coincidence Points of Proximal Contractions Involving Cyclic Mappings in Non-Archimedean Fuzzy Metric Spaces," Mathematics, MDPI, vol. 5(2), pages 1-20, April.
    4. Hussain, Nawab & Kutbi, M.A. & Salimi, Peyman, 2020. "Global optimal solutions for proximal fuzzy contractions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).

    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. Hussain, Nawab & Kutbi, M.A. & Salimi, Peyman, 2020. "Global optimal solutions for proximal fuzzy contractions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).
    2. Chayut Kongban & Poom Kumam & Somayya Komal & Kanokwan Sitthithakerngkiet, 2018. "On p -Common Best Proximity Point Results for S -Weakly Contraction in Complete Metric Spaces," Mathematics, MDPI, vol. 6(11), pages 1-11, November.
    3. Watchareepan Atiponrat & Anchalee Khemphet & Wipawinee Chaiwino & Teeranush Suebcharoen & Phakdi Charoensawan, 2024. "Common Best Proximity Point Theorems for Generalized Dominating with Graphs and Applications in Differential Equations," Mathematics, MDPI, vol. 12(2), pages 1-21, January.
    4. Manuel De la Sen & Mujahid Abbas & Naeem Saleem, 2017. "On Optimal Fuzzy Best Proximity Coincidence Points of Proximal Contractions Involving Cyclic Mappings in Non-Archimedean Fuzzy Metric Spaces," Mathematics, MDPI, vol. 5(2), pages 1-20, April.

    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:spr:fuzinf:v:5:y:2013:i:4:d:10.1007_s12543-013-0155-z. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.