IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2014y2014i1n962784.html

Discussion on α − ψ Contractions on Generalized Metric Spaces

Author

Listed:
  • Erdal Karapınar

Abstract

We discuss the existence and uniqueness of fixed points of α − ψ contractive mappings in complete generalized metric spaces, introduced by Branciari. Our results generalize and improve several results in the literature.

Suggested Citation

  • Erdal Karapınar, 2014. "Discussion on α − ψ Contractions on Generalized Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
  • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:962784
    DOI: 10.1155/2014/962784
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/962784
    Download Restriction: no

    File URL: https://libkey.io/10.1155/2014/962784?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. Hassen Aydi & Erdal Karapınar & Wasfi Shatanawi, 2012. "Tripled Fixed Point Results in Generalized Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    2. Mohamed Jleli & Erdal Karapınar & Bessem Samet, 2013. "Best Proximity Points for Generalized α‐ψ‐Proximal Contractive Type Mappings," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    3. Hassen Aydi & Erdal Karapınar & Wasfi Shatanawi, 2012. "Tripled Fixed Point Results in Generalized Metric Spaces," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-10, May.
    4. Mohamed Jleli & Erdal Karapınar & Bessem Samet, 2013. "Best Proximity Points for Generalized -Proximal Contractive Type Mappings," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-10, May.
    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. Feng Gu, 2012. "Common Fixed Point Theorems for Six Mappings in Generalized Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Hassen Aydi & Erdal Karapınar & Peyman Salimi, 2012. "Some Fixed Point Results in GP‐Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    3. N. Hussain & M. A. Kutbi & P. Salimi, 2013. "Best Proximity Point Results for Modified α‐ψ‐Proximal Rational Contractions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    4. Hassen Aydi & Sana Hadj Amor & Erdal Karapinar, 2013. "Some Almost Generalized (ψ, ϕ)‐Contractions in G‐Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    5. Lucas Wangwe & Santosh Kumar, 2021. "A Common Fixed Point Theorem for Generalised F‐Kannan Mapping in Metric Space with Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2021(1).
    6. Wei-Shih Du & Farshid Khojasteh, 2014. "New Results and Generalizations for Approximate Fixed Point Property and Their Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    7. Marwan Amin Kutbi & Akbar Azam & Jamshaid Ahmad & Cristina Di Bari, 2013. "Some Common Coupled Fixed Point Results for Generalized Contraction in Complex‐Valued Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    8. Maryam A. Alghamdi & Chi-Ming Chen & Erdal Karapınar, 2014. "The Generalized Weaker (α‐ϕ‐φ)‐Contractive Mappings and Related Fixed Point Results in Complete Generalized Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    9. Erdal Karapınar, 2015. "Fixed Points Results for α‐Admissible Mapping of Integral Type on Generalized Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    10. Saleh A. Al-Mezel & Chi-Ming Chen & Erdal Karapınar & Vladimir Rakočević, 2014. "Fixed Point Results for Various α‐Admissible Contractive Mappings on Metric‐Like Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    11. E. Karapınar & A. Yıldız-Ulus & İ. M. Erhan, 2012. "Cyclic Contractions on G‐Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    12. Feng Gu & Hongqing Ye, 2012. "Common Fixed Point Theorems of Altman Integral Type Mappings in G‐Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    13. Hamed H Al-Sulami & Nawab Hussain & Jamshaid Ahmad, 2019. "Best Proximity Results with Applications to Nonlinear Dynamical Systems," Mathematics, MDPI, vol. 7(10), pages 1-20, September.
    14. Hassen Aydi & Chi-Ming Chen & Erdal Karapınar, 2019. "Interpolative Ćirić-Reich-Rus Type Contractions via the Branciari Distance," Mathematics, MDPI, vol. 7(1), pages 1-7, January.

    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:962784. 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.