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Exploring Fuzzy Fixed Points of γ‐Fuzzy Contractions in b‐Metric Spaces

Author

Listed:
  • Shazia Kanwal
  • Rehmatullah Madni
  • Muhammad Arshad
  • Muhammad Nazam
  • Aftab Hussain
  • Asim Asiri

Abstract

This paper explores the significance and implications of common γ‐fuzzy fixed point results related to γ‐fuzzy contraction as a novel form of contraction in complete b‐metric space. Theoretical developments and theorems provide a solid foundation for understanding utilization of the properties of γ‐fuzzy contraction, showcasing its efficiency through numerous examples and establishing stability and convergence properties. Moreover, some conventional fixed point results are incorporated as the direct consequences of our main findings.

Suggested Citation

  • 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).
    • Handle: RePEc:wly:jjmath:v:2025:y:2025:i:1:n:7699466
    DOI: 10.1155/jom/7699466
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    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. 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.
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