IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2013y2013i1n165420.html

Some Almost Generalized (ψ, ϕ)‐Contractions in G‐Metric Spaces

Author

Listed:
  • Hassen Aydi
  • Sana Hadj Amor
  • Erdal Karapinar

Abstract

In this paper, we introduce some almost generalized (ψ, ϕ)‐contractions in the setting of G‐metric spaces. We prove some fixed points results for such contractions. The presented theorems improve and extend some known results in the literature. An example is also presented.

Suggested Citation

  • 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).
  • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:165420
    DOI: 10.1155/2013/165420
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2013/165420
    Download Restriction: no

    File URL: https://libkey.io/10.1155/2013/165420?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. 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.
    3. W. Shatanawi, 2011. "Some Fixed Point Theorems in Ordered G‐Metric Spaces and Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    4. 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.
    5. W. Shatanawi, 2011. "Some Fixed Point Theorems in Ordered ð º -Metric Spaces and Applications," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-11, June.
    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. 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).
    3. 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).
    4. 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).
    5. A. Razani & V. Parvaneh, 2012. "On Generalized Weakly G‐Contractive Mappings in Partially Ordered G‐Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    6. 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).
    7. 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).
    8. Erdal Karapınar, 2014. "Discussion on α − ψ Contractions on Generalized Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    9. 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).
    10. Nguyen Manh Hung & Erdal Karapınar & Nguyen Van Luong, 2012. "Coupled Coincidence Point Theorem in Partially Ordered Metric Spaces via Implicit Relation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    11. Bessem Samet & Calogero Vetro & Francesca Vetro, 2013. "Remarks on -Metric Spaces," International Journal of Analysis, Hindawi, vol. 2013, pages 1-6, January.
    12. W. Shatanawi, 2011. "Some Fixed Point Theorems in Ordered G‐Metric Spaces and Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    13. Hongqing Ye & Feng Gu, 2012. "Common Fixed Point Theorems for a Class of Twice Power Type Contraction Maps in G‐Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    14. Wei Long & Mujahid Abbas & Talat Nazir & Stojan Radenović, 2012. "Common Fixed Point for Two Pairs of Mappings Satisfying (E.A) Property in Generalized Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    15. Feng Gu & Yun Yin, 2013. "Common Fixed Point for Three Pairs of Self‐Maps Satisfying Common (E.A) Property in Generalized Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    16. 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.
    17. 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.
    18. Zead Mustafa, 2012. "Some New Common Fixed Point Theorems under Strict Contractive Conditions in G‐Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    19. M. Abbas & A. Hussain & P. Kumam, 2015. "A Coincidence Best Proximity Point Problem in G‐Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    20. 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:2013:y:2013:i:1:n:165420. 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.