IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v7y2019i5p394-d227322.html
   My bibliography  Save this article

Prešić Type Nonself Operators and Related Best Proximity Results

Author

Listed:
  • Muhammad Usman Ali

    (Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock 43260, Pakistan)

  • Misbah Farheen

    (Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan)

  • Tayyab Kamran

    (Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan)

  • Georgeta Maniu

    (Department of Mathematics and Informatics, University Politehnica of Bucharest, 060042 Bucharest, Romania
    Department of Information Technology, Mathematics and Physics, Petroleum-Gas University of Ploiesti, Bulevardul Bucuresti, No. 39, 100680 Ploiesti, Romania)

Abstract

The purpose of this article is to discuss the existence of best proximity points for Pre s ˇ i c ´ -type nonself operators, say T : A k → B . We also give several examples to support our results. As a consequence of our results, we have provided some interesting formulations of Pre s ˇ i c ´ fixed point results.

Suggested Citation

  • Muhammad Usman Ali & Misbah Farheen & Tayyab Kamran & Georgeta Maniu, 2019. "Prešić Type Nonself Operators and Related Best Proximity Results," Mathematics, MDPI, vol. 7(5), pages 1-12, April.
  • Handle: RePEc:gam:jmathe:v:7:y:2019:i:5:p:394-:d:227322
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/7/5/394/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/7/5/394/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. A. Abkar & M. Gabeleh, 2011. "Best Proximity Points for Cyclic Mappings in Ordered Metric Spaces," Journal of Optimization Theory and Applications, Springer, vol. 151(2), pages 418-424, November.
    2. Jack Markin & Naseer Shahzad, 2013. "Best Proximity Points for Relatively -Continuous Mappings in Banach and Hyperconvex Spaces," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-5, September.
    3. A. Abkar & M. Gabeleh, 2011. "Best Proximity Points for Cyclic Mappings in Ordered Metric Spaces," Journal of Optimization Theory and Applications, Springer, vol. 150(1), pages 188-193, July.
    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. Chirasak Mongkolkeha & Poom Kumam, 2012. "Best Proximity Point Theorems for Generalized Cyclic Contractions in Ordered Metric Spaces," Journal of Optimization Theory and Applications, Springer, vol. 155(1), pages 215-226, October.
    2. A. Abkar & M. Gabeleh, 2012. "Global Optimal Solutions of Noncyclic Mappings in Metric Spaces," Journal of Optimization Theory and Applications, Springer, vol. 153(2), pages 298-305, May.
    3. Naeem Saleem & Jelena Vujaković & Wali Ullah Baloch & Stojan Radenović, 2019. "Coincidence Point Results for Multivalued Suzuki Type Mappings Using θ -Contraction in b -Metric Spaces," Mathematics, MDPI, vol. 7(11), pages 1-21, October.

    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:gam:jmathe:v:7:y:2019:i:5:p:394-:d:227322. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.