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Fixed Point Results in Soft Fuzzy Metric Spaces

Author

Listed:
  • Sonam

    (Department of Mathematics, Amity Institute of Applied Sciences, Amity University Kolkata, Kolkata 700135, West Bengal, India)

  • Ramakant Bhardwaj

    (Department of Mathematics, Amity Institute of Applied Sciences, Amity University Kolkata, Kolkata 700135, West Bengal, India)

  • Satyendra Narayan

    (Department of Applied Computing, Sheridan Institute of Technology, Oakville, ON L6H 2L1, Canada)

Abstract

The primary objective of the paper is to present the Banach contraction theorem in soft fuzzy metric spaces while taking into consideration a restriction on the soft fuzzy metric between the soft points of the absolute soft set. A new altering distance function, namely the Ψ -contraction function, is introduced on soft fuzzy metric spaces, and some fixed point results are proven by considering soft mappings that comprise Ψ -contraction with the continuity of soft t-norm. In addition to that, some illustrations are supplied for the support of the established soft fuzzy Banach contraction theorem and fixed point results over Ψ -contraction mappings. The obtained results generalize and extend some well-known results present in the literature on fixed point theory.

Suggested Citation

  • Sonam & Ramakant Bhardwaj & Satyendra Narayan, 2023. "Fixed Point Results in Soft Fuzzy Metric Spaces," Mathematics, MDPI, vol. 11(14), pages 1-11, July.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:14:p:3189-:d:1198727
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    References listed on IDEAS

    as
    1. Haidong Zhang & Lan Shu & Shilong Liao, 2014. "Intuitionistic Fuzzy Soft Rough Set and Its Application in Decision Making," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-13, May.
    2. Fuqiang Wang & Xihua Li & Xiaohong Chen, 2014. "Hesitant Fuzzy Soft Set and Its Applications in Multicriteria Decision Making," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-10, July.
    3. Haidong Zhang & Lan Shu & Shilong Liao, 2014. "Generalized Trapezoidal Fuzzy Soft Set and Its Application in Medical Diagnosis," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-12, April.
    Full references (including those not matched with items on IDEAS)

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