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Fixed Point Results for Compatible Mappings in Extended Parametric S b -Metric Spaces

Author

Listed:
  • Sunil Beniwal

    (Department of Mathematics, Chandigarh University, Mohali 140413, Punjab, India)

  • Naveen Mani

    (Department of Mathematics, Chandigarh University, Mohali 140413, Punjab, India)

  • Rahul Shukla

    (Department of Mathematical Sciences and Computing, Walter Sisulu University, Mthatha 5117, South Africa)

  • Amit Sharma

    (Department of Mathematics, Amity University Haryana, Gurugram 122413, Haryana, India)

Abstract

This study aims to establish common fixed point theorems for a pair of compatible self-mappings within the framework of extended parametric S b -metric spaces. To support our assertions, we provide corollaries and examples accompanied with graphical representations. Moreover, we leverage our principal outcome to guarantee the existence of a common solution to a system of integral equations.

Suggested Citation

  • Sunil Beniwal & Naveen Mani & Rahul Shukla & Amit Sharma, 2024. "Fixed Point Results for Compatible Mappings in Extended Parametric S b -Metric Spaces," Mathematics, MDPI, vol. 12(10), pages 1-20, May.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:10:p:1460-:d:1390673
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    References listed on IDEAS

    as
    1. N. Hussain & S. Khaleghizadeh & P. Salimi & Afrah A. N. Abdou, 2014. "A New Approach to Fixed Point Results in Triangular Intuitionistic Fuzzy Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-16, April.
    2. Nihal Taş & Nihal Yılmaz Özgür, 2016. "On Parametric -Metric Spaces and Fixed-Point Type Theorems for Expansive Mappings," Journal of Mathematics, Hindawi, vol. 2016, pages 1-6, November.
    3. Naveen Mani & Amit Sharma & Rahul Shukla & Jozef Banas, 2023. "Fixed Point Results via Real-Valued Function Satisfying Integral Type Rational Contraction," Abstract and Applied Analysis, Hindawi, vol. 2023, pages 1-6, January.
    Full references (including those not matched with items on IDEAS)

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