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Coupled Fixed Point Theorems Employing CLR-Property on V -Fuzzy Metric Spaces

Author

Listed:
  • Vishal Gupta

    (Department of Mathematics, Maharishi Markandeshwar, Deemed to be University, Mullana-133207, Haryana, India
    These authors contributed equally to this work.)

  • Wasfi Shatanawi

    (Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
    China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
    Department of M-Commerce and Multimedia Applications, Asia University, Taichung 41354, Taiwann
    These authors contributed equally to this work.)

  • Ashima Kanwar

    (Department of Mathematics, Sant Baba Bhag Singh University, District-Jalandhar, Punjab 144030, India
    These authors contributed equally to this work.)

Abstract

The introduction of the common limit range property on V -fuzzy metric spaces is the foremost aim of this paper. Furthermore, significant results for coupled maps are proven by employing this property on V -fuzzy metric spaces. More precisely, we introduce the notion of C L R Ω -property for the mappings Θ : M × M → M and Ω : M → M . We utilize our new notion to present and prove our new fixed point results.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:404-:d:331421
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    References listed on IDEAS

    as
    1. Manish Jain & Kenan Tas & Sanjay Kumar & Neetu Gupta, 2012. "Coupled Fixed Point Theorems for a Pair of Weakly Compatible Maps along with CLRg Property in Fuzzy Metric Spaces," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-13, August.
    2. S. N. Mishra & Nilima Sharma & S. L. Singh, 1994. "Common fixed points of maps on fuzzy metric spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 17, pages 1-6, January.
    3. 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.
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