IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2012y2012i1n701910.html

On Generalized Weakly G‐Contractive Mappings in Partially Ordered G‐Metric Spaces

Author

Listed:
  • A. Razani
  • V. Parvaneh

Abstract

The aim of this paper is to present some coincidence and common fixed point results for generalized weakly G‐contractive mappings in the setup of partially ordered G‐metric space. We also provide an example to illustrate the results presented herein. As an application of our results, periodic points of weakly G‐contractive mappings are obtained.

Suggested Citation

  • 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).
  • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:701910
    DOI: 10.1155/2012/701910
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2012/701910
    Download Restriction: no

    File URL: https://libkey.io/10.1155/2012/701910?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. 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.
    2. W. Shatanawi, 2011. "Some Fixed Point Theorems in Ordered G‐Metric Spaces and Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    3. Gerald Jungck, 1986. "Compatible mappings and common fixed points," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 9, pages 1-9, January.
    4. 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. 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).
    3. 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).
    4. 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).
    5. 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).
    6. 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).
    7. Budi Nurwahyu, 2019. "Common Fixed Point Theorems on Generalized Ratio Contraction Mapping in Extended Rectangular b -Metric Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2019, pages 1-14, December.
    8. Mohammad Ali Alghamdi & Stojan Radenović & Naseer Shahzad, 2012. "On Some Generalizations of Commuting Mappings," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    9. 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).
    10. 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).
    11. Vishal Gupta & Nitika Garg & Rahul Shukla, 2025. "Some Novel Fixed‐Point Results in Neutrosophic Soft Metric Space With Application in Decision‐Making to Select the Optimal Adsorbent," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    12. Chi-Ming Chen, 2012. "Common Fixed‐Point Theorems in Complete Generalized Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    13. Bessem Samet & Calogero Vetro & Francesca Vetro, 2013. "Remarks on -Metric Spaces," International Journal of Analysis, Hindawi, vol. 2013, pages 1-6, January.
    14. Rqeeb Gubran & Mohammad Imdad, 2016. "Results on Coincidence and Common Fixed Points for (ψ,φ) g -Generalized Weakly Contractive Mappings in Ordered Metric Spaces," Mathematics, MDPI, vol. 4(4), pages 1-13, December.
    15. Cho, Yeol Je & Sedghi, Shaban & Shobe, Nabi, 2009. "Generalized fixed point theorems for compatible mappings with some types in fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2233-2244.
    16. 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).
    17. J. R. Morales & E. M. Rojas, 2012. "Some Generalizations of Jungck's Fixed Point Theorem," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-19, November.
    18. Lucas Wangwe & Santosh Kumar, 2022. "Common Fixed Point Theorems for F‐Kannan–Suzuki Type Mappings in TVS‐Valued Cone Metric Space with Some Applications," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    19. Muhammad Shoaib & Muhammad Sarwar, 2016. "Multivalued Fixed Point Theorems for Generalized Contractions and Their Applications," Journal of Mathematics, Hindawi, vol. 2016, pages 1-8, October.
    20. Zoran D. Mitrović & Hassen Aydi & Nawab Hussain & Aiman Mukheimer, 2019. "Reich, Jungck, and Berinde Common Fixed Point Results on ℱ-Metric Spaces and an Application," Mathematics, MDPI, vol. 7(5), pages 1-10, April.

    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:701910. 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.