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

Shazia Kanwal, Rehmatullah Madni, Muhammad Arshad, Muhammad Nazam, Aftab Hussain and Asim Asiri

Journal of Mathematics, 2025, vol. 2025, 1-9

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.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7699466

DOI: 10.1155/jom/7699466

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