IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2012y2012i1n729758.html

Common Fixed Point Theorems for Commutating Mappings in Fuzzy Metric Spaces

Author

Listed:
  • Famei Zheng
  • Xiuguo Lian

Abstract

We generalize Jungck′s theorem in Jungck (1976) to fuzzy metric spaces and prove common fixed point theorems for commutative mappings in fuzzy metric spaces.

Suggested Citation

  • Famei Zheng & Xiuguo Lian, 2012. "Common Fixed Point Theorems for Commutating Mappings in Fuzzy Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:729758
    DOI: 10.1155/2012/729758
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2012/729758
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2012/729758?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. Gerald Jungck, 1986. "Compatible mappings and common fixed points," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 9, pages 1-9, January.
    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. Siniša N. Ješić & Nataša A. Babačev & Rale M. Nikolić, 2013. "A Common Fixed Point Theorem in Fuzzy Metric Spaces with Nonlinear Contractive Type Condition Defined Using Φ‐Function," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Yonghong Shen & Wei Chen & Sanfu Wang, 2012. "Comment on “Common Fixed Point Theorems for Commutating Mappings in Fuzzy Metric Spaces”," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    3. Mehmet Şahin & Necati Olgun & F. Talay Akyıldız & Ali Karakuş, 2012. "Generalized Caratheodory Extension Theorem on Fuzzy Measure Space," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(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. Mohammad Ali Alghamdi & Stojan Radenović & Naseer Shahzad, 2012. "On Some Generalizations of Commuting Mappings," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. 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.
    3. 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).
    4. 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.
    5. 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.
    6. Naveen Mani & Aruhi Somal & Sunil Beniwal & Rahul Shukla, 2025. "Solving Systems of Linear Integral Equations via Fixed Point Theory in Extended Parametric Sb‐Metric Spaces," International Journal of Differential Equations, John Wiley & Sons, vol. 2025(1).
    7. Erdal Karapınar & Ravi P. Agarwal & Seher Sultan Yeşilkaya & Chao Wang, 2022. "Fixed-Point Results for Meir–Keeler Type Contractions in Partial Metric Spaces: A Survey," Mathematics, MDPI, vol. 10(17), pages 1-76, August.
    8. 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).
    9. Yassin Alzubaidi, 2025. "Common Fixed Point for Finite Sets of Mappings in Generalized Metric Spaces," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    10. Saurabh Manro & Sanjay Kumar & S. S. Bhatia & Kenan Tas, 2013. "Common Fixed Point Theorems in Modified Intuitionistic Fuzzy Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    11. Zoran D. Mitrović & Abasalt Bodaghi & Ahmad Aloqaily & Nabil Mlaiki & Reny George, 2023. "New Versions of Some Results on Fixed Points in b -Metric Spaces," Mathematics, MDPI, vol. 11(5), pages 1-9, February.
    12. Hemant Kumar Nashine & Zoran Kadelburg & Zorana Golubović, 2012. "Common Fixed Point Results Using Generalized Altering Distances on Orbitally Complete Ordered Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    13. 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.
    14. Yohannes Gebru & Yitages Negede, 2022. "Common Best Proximity Point Theorems for Generalized Proximal Weakly Contractive Mappings in b‐Metric Space," Abstract and Applied Analysis, John Wiley & Sons, vol. 2022(1).
    15. 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).
    16. 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).
    17. A. Razani & B. Moeini, 2014. "𝒥ℋ‐Operator Pairs with Application to Functional Equations Arising in Dynamic Programming," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    18. Watchareepan Atiponrat & Pariwate Varnakovida & Pharunyou Chanthorn & Teeranush Suebcharoen & Phakdi Charoensawan, 2023. "Common Fixed Point Theorems for Novel Admissible Contraction with Applications in Fractional and Ordinary Differential Equations," Mathematics, MDPI, vol. 11(15), pages 1-20, August.
    19. Albray Gebremariam Kalo & Kidane Koyas Tola & Haider Ebrahim Yesuf, 2025. "Common Fixed Point Results on b‐Metric Spaces for Generalized Rational Type (ϑ, ψ, φ)‐Weakly Contractive Mappings With Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2025(1).
    20. R. K. Bisht, 2012. "Common Fixed Points of Generalized Meir-Keeler Type Condition and Nonexpansive Mappings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-12, July.

    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:729758. 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.