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Common Fixed Point Theorems for a Pair of Weakly Compatible Mappings in Fuzzy Metric Spaces

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  • Wutiphol Sintunavarat
  • Poom Kumam

Abstract

We prove some common fixed point theorems for a pair of weakly compatible mappings in fuzzy metric spaces both in the sense of Kramosil and Michalek and in the sense of George and Veeramani by using the new property and give some examples. Our results improve and generalize the main results of Mihet in (Mihet, 2010) and many fixed point theorems in fuzzy metric spaces.

Suggested Citation

  • Wutiphol Sintunavarat & Poom Kumam, 2011. "Common Fixed Point Theorems for a Pair of Weakly Compatible Mappings in Fuzzy Metric Spaces," Journal of Applied Mathematics, Hindawi, vol. 2011, pages 1-14, August.
    • Handle: RePEc:hin:jnljam:637958
    DOI: 10.1155/2011/637958
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    Cited by:

    1. Mathuraiveeran Jeyaraman & Mookiah Suganthi & Wasfi Shatanawi, 2020. "Common Fixed Point Theorems in Intuitionistic Generalized Fuzzy Cone Metric Spaces," Mathematics, MDPI, vol. 8(8), pages 1-13, July.
    2. 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.
    3. Vishal Gupta & Wasfi Shatanawi & Ashima Kanwar, 2020. "Coupled Fixed Point Theorems Employing CLR-Property on V -Fuzzy Metric Spaces," Mathematics, MDPI, vol. 8(3), pages 1-9, March.
    4. Mian Bahadur Zada & Muhammad Sarwar & Nayyar Mehmood, 2016. "Common Fixed Point Results for Six Mappings via Integral Contractions with Applications," International Journal of Analysis, Hindawi, vol. 2016, pages 1-13, October.
    5. Balbir Singh & Vishal Gupta & Sanjay Kumar, 2013. "Common Fixed Point Theorems Using the E.A. and CLR Properties in 2-Menger Spaces," International Journal of Analysis, Hindawi, vol. 2013, pages 1-7, May.
    6. 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.
    7. Panda, Sumati Kumari & Ravichandran, C. & Hazarika, Bipan, 2021. "Results on system of Atangana–Baleanu fractional order Willis aneurysm and nonlinear singularly perturbed boundary value problems," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    8. E. Karapınar & D. K. Patel & M. Imdad & D. Gopal, 2013. "Some Nonunique Common Fixed Point Theorems in Symmetric Spaces through Property," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2013, pages 1-8, February.
    9. Manoj Kumar & Pankaj Kumar & Sanjay Kumar, 2013. "Some Common Fixed Point Theorems in Generalized Metric Spaces," Journal of Mathematics, Hindawi, vol. 2013, pages 1-7, April.

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