IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2012y2012i1n192581.html

Coupled Coincidence Points of Mappings in Ordered Partial Metric Spaces

Author

Listed:
  • Zorana Golubović
  • Zoran Kadelburg
  • Stojan Radenović

Abstract

New coupled coincidence point and coupled fixed point results in ordered partial metric spaces under the contractive conditions of Geraghty, Rakotch, and Branciari types are obtained. Examples show that these results are distinct from the known ones.

Suggested Citation

  • Zorana Golubović & Zoran Kadelburg & Stojan Radenović, 2012. "Coupled Coincidence Points of Mappings in Ordered Partial Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:192581
    DOI: 10.1155/2012/192581
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2012/192581
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2012/192581?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. A. Branciari, 2002. "A fixed point theorem for mappings satisfying a general contractive condition of integral type," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 29, pages 1-6, January.
    2. Hassen Aydi, 2011. "Some Coupled Fixed Point Results on Partial Metric Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2011, pages 1-11, May.
    3. Dušan Ðukić & Zoran Kadelburg & Stojan Radenović, 2011. "Fixed Points of Geraghty‐Type Mappings in Various Generalized Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    4. Dušan Ðukić & Zoran Kadelburg & Stojan Radenović, 2011. "Fixed Points of Geraghty-Type Mappings in Various Generalized Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-13, December.
    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. N. Hussain & S. Al-Mezel & P. Salimi, 2013. "Fixed Points for ψ‐Graphic Contractions with Application to Integral Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Zaid Mohammed Fadail & Abd Ghafur Bin Ahmad, 2012. "Common Coupled Fixed Point Theorems of Single‐Valued Mapping for c‐Distance in Cone Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    3. Mihai Turinici, 2013. "Functional Contractive Maps in Triangular Symmetric Spaces," Journal of Mathematics, Hindawi, vol. 2013, pages 1-6, March.
    4. Erdal Karapınar & Wasfi Shatanawi & Zead Mustafa, 2012. "Quadruple Fixed Point Theorems under Nonlinear Contractive Conditions in Partially Ordered Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    5. Sharifa Al-Sharif & Mohammad Al-Khaleel & Mona Khandaqji, 2012. "Coupled Fixed Point Theorems for Nonlinear Contractions in Partial Metric Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-13, September.
    6. Zaid Mohammed Fadail & Abd Ghafur Bin Ahmad, 2012. "Coupled Fixed Point Theorems of Single‐Valued Mapping for c‐Distance in Cone Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    7. Saud M. Alsulami, 2014. "Unique Coincidence and Fixed Point Theorem for g‐Weakly C‐Contractive Mappings in Partial Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

    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. Preeti Kaushik & Sanjay Kumar & Kenan Tas, 2017. "A New Class of Contraction in b‐Metric Spaces and Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2017(1).
    2. Nawab Hussain & Zoran Kadelburg & Stojan Radenović & Falleh Al-Solamy, 2012. "Comparison Functions and Fixed Point Results in Partial Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    3. Farzaneh Zabihi & Abdolrahman Razani, 2014. "Fixed Point Theorems for Hybrid Rational Geraghty Contractive Mappings in Ordered b‐Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    4. Abd Ghafur Bin Ahmad & Zaid Mohammed Fadail & Vesna Ćojbašić Rajić & Stojan Radenović, 2012. "Nonlinear Contractions in 0‐Complete Partial Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    5. Manish Jain & Neetu Gupta & Sanjay Kumar, 2014. "Coupled Fixed Point Theorems for ( )-Contractive Mixed Monotone Mappings in Partially Ordered Metric Spaces and Applications," International Journal of Analysis, Hindawi, vol. 2014, pages 1-9, March.
    6. Haitham Qawaqneh & Mohd Salmi Md Noorani & Wasfi Shatanawi & Hassen Aydi & Habes Alsamir, 2019. "Fixed Point Results for Multi-Valued Contractions in b −Metric Spaces and an Application," Mathematics, MDPI, vol. 7(2), pages 1-13, February.
    7. A. Razani & V. Parvaneh, 2012. "Coupled Coincidence Point Results for (ψ, α, β)‐Weak Contractions in Partially Ordered Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    8. Erdal Karapınar & Wasfi Shatanawi, 2012. "On Weakly (C, ψ, ϕ)‐Contractive Mappings in Ordered Partial Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    9. Sumit Chandok & Simona Dinu, 2013. "Common Fixed Points for Weak ψ‐Contractive Mappings in Ordered Metric Spaces with Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    10. Hassen Aydi & Sana Hadj Amor & Erdal Karapınar, 2013. "Berinde‐Type Generalized Contractions on Partial Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    11. Marwan Amin Kutbi & Mohammad Imdad & Sunny Chauhan & Wutiphol Sintunavarat, 2014. "Some Integral Type Fixed Point Theorems for Non‐Self‐Mappings Satisfying Generalized (ψ, φ)‐Weak Contractive Conditions in Symmetric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    12. Muhammad Usman Ali & Tayyab Kamran & Erdal Karapınar, 2014. "An Approach to Existence of Fixed Points of Generalized Contractive Multivalued Mappings of Integral Type via Admissible Mapping," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    13. Muhammad Shoaib & Muhammad Sarwar & Sultan Hussain & Gohar Ali, 2017. "Existence and Uniqueness of Common Fixed Point for Mappings Satisfying Integral Type Contractive Conditions in G-Metric Spaces," Matrix Science Mathematic (MSMK), Zibeline International Publishing, vol. 1(1), pages 1-8, January.
    14. Debashis Dey & Amit Kumar Laha & Mantu Saha, 2013. "Approximate Coincidence Point of Two Nonlinear Mappings," Journal of Mathematics, Hindawi, vol. 2013, pages 1-4, March.
    15. Wasfi Shatanawi & Hemant Kumar Nashine & Nedal Tahat, 2012. "Generalization of Some Coupled Fixed Point Results on Partial Metric Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-10, June.
    16. Diana Caponetti & Mieczysław Cichoń & Valeria Marraffa, 2025. "On Uniqueness of Fixed Points and Their Regularity," Mathematics, MDPI, vol. 13(18), pages 1-22, September.
    17. 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).
    18. Nesrin Manav Tatar & Ravi P. Agarwal, 2023. "Best Approximation of Fixed-Point Results for Branciari Contraction of Integral Type on Generalized Modular Metric Space," Mathematics, MDPI, vol. 11(21), pages 1-15, October.
    19. A. P. Farajzadeh & A. Kaewcharoen & S. Plubtieng, 2014. "An Application of Fixed Point Theory to a Nonlinear Differential Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    20. Ghosh, S.K. & Nahak, C., 2020. "An extension of Lakzian-Rhoades results in the structure of ordered b-metric spaces via wt-distance with an application," Applied Mathematics and Computation, Elsevier, vol. 378(C).

    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:2012:y:2012:i:1:n:192581. 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.