IDEAS home Printed from https://ideas.repec.org/a/wly/jnljam/v2013y2013i1n510691.html

A Common Fixed Point Theorem in Metric Space under General Contractive Condition

Author

Listed:
  • Sunny Chauhan
  • Zoran Kadelburg
  • Sumitra Dalal

Abstract

We prove a common fixed point theorem for two pairs of compatible and subsequentially continuous (alternately subcompatible and reciprocally continuous) mappings satisfying a general contractive condition in a metric space. Some illustrative examples are furnished to highlight the realized improvements. Our result improves the main result of Sedghi and Shobe (2007).

Suggested Citation

  • Sunny Chauhan & Zoran Kadelburg & Sumitra Dalal, 2013. "A Common Fixed Point Theorem in Metric Space under General Contractive Condition," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:510691
    DOI: 10.1155/2013/510691
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2013/510691
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/510691?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. Hui-Sheng Ding & Zoran Kadelburg & Erdal Karapınar & Stojan Radenović, 2012. "Common Fixed Points of Weak Contractions in Cone Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Mohammad Ali Alghamdi & Stojan Radenović & Naseer Shahzad, 2012. "On Some Generalizations of Commuting Mappings," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    3. Hui-Sheng Ding & Zoran Kadelburg & Erdal Karapınar & Stojan Radenović, 2012. "Common Fixed Points of Weak Contractions in Cone Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-18, May.
    4. Mohammad Imdad & Sunny Chauhan, 2013. "Employing Common Limit Range Property to Prove Unified Metrical Common Fixed Point Theorems," International Journal of Analysis, Hindawi, vol. 2013, pages 1-10, May.
    5. Gerald Jungck, 1986. "Compatible mappings and common fixed points," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 9, pages 1-9, January.
    6. Mohammad Ali Alghamdi & Stojan Radenović & Naseer Shahzad, 2012. "On Some Generalizations of Commuting Mappings," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-6, January.
    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. 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).
    2. 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.
    3. 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).
    4. Shazia Kanwal & Rehmatullah Madni & Muhammad Arshad & Muhammad Nazam & Aftab Hussain & Asim Asiri, 2025. "Exploring Fuzzy Fixed Points of γ‐Fuzzy Contractions in b‐Metric Spaces," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    5. Mohammad Imdad & Sunny Chauhan & Sumitra Dalal, 2013. "Unified Fixed Point Theorems via Common Limit Range Property in Modified Intuitionistic Fuzzy Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    6. Xiaolan Liu & Mi Zhou & Arslan Hojat Ansari & Naeem Saleem & Mukesh Kumar Jain, 2023. "Fixed Point Results for Hybrid Rational Contractions under a New Compatible Condition with an Application," Mathematics, MDPI, vol. 12(1), pages 1-16, December.
    7. Nabil Mlaiki & Mohamed Hajji & Thabet Abdeljawad, 2020. "A New Extension of the Rectangular b‐Metric Spaces," Advances in Mathematical Physics, John Wiley & Sons, vol. 2020(1).
    8. Ing-Jer Lin & Chi-Ming Chen & Mirko Jovanović & Tzi-Huei Wu, 2012. "Fixed Points and Endpoints of Set‐Valued Contractions in Cone Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    9. Mohammad Ali Alghamdi & Stojan Radenović & Naseer Shahzad, 2012. "On Some Generalizations of Commuting Mappings," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    10. 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.
    11. 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.
    12. 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).
    13. 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.
    14. 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.
    15. 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).
    16. 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.
    17. 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).
    18. Yassin Alzubaidi, 2025. "Common Fixed Point for Finite Sets of Mappings in Generalized Metric Spaces," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    19. Savita Rathee & Anshuka Kadyan & Anil Kumar & Kenan Tas, 2022. "Fixed Point Results for Cirić and Almost Contractions in Convex b -Metric Spaces," Mathematics, MDPI, vol. 10(3), pages 1-21, January.
    20. 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).

    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:jnljam:v:2013:y:2013:i:1:n:510691. 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/4185 .

    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.