Theoretical and Applied Analysis of Coincidence Fixed Points in Fuzzy Fréchet Space

الملخص

    This paper presents new results concerning coincidence and common fixed points in the setting of fuzzy Fréchet spaces, making essential use of the triangular inequality inherent in such spaces.to illustrate the applicability of the theoretical results, a concrete example is provided. Moreover, the established findings are employed to investigate a class of fuzzy differential equations, where we demonstrate the existence and uniqueness of a common fixed point for a triplet of operators. This fixed point corresponds to the unique solution of associated fuzzy differential system. The proposed approach opens new perspectives in the study of fuzzy dynamic systems and may serve as a foundation for extending similar results to broader classes of compatibility conditions and fuzzy differential models.