Date of Publication :8th August 2024

Abstract:This paper extends fixed point theory to fuzzy probability metric spaces (FPMs) and investigates how fuzziness impacts the existence and uniqueness of fixed points. By integrating fuzzy set theory with probability metric spaces, we offer theoretical insights and practical applications across diverse fields. The development of new theorems and methodologies specific to FPMs in this study provides a robust and reliable framework for addressing uncertainties inherent in various mathematical and real-world problems, instilling confidence in the applicability of our research.

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