Common Fixed- Point Theorem in M Fuzzy Metric Spaces with Property (E) Satisfying Integral Type Inequality

The present study is devoted to establishing a new class of common fixed-point theorems in the setting of M-fuzzy metric spaces where the involved self-mappings satisfy property (E) under an integral-type contractive framework. The results presented herein not only generalize several known theorems in fuzzy fixed-point literature but also contribute to the theoretical underpinnings of fuzzy analysis. These findings are expected to have further implications in applied fields such as control systems, fuzzy decision-making models, and computational intelligence, where imprecision and uncertainty are intrinsic.