Common Fixed Point Theorems in a New Fuzzy Metric Space

الملخص EN

We generalize the Hausdorff fuzzy metric in the sense of Rodríguez-López and Romaguera, and we introduce a new M∞-fuzzy metric, where M∞-fuzzymetric can be thought of as the degree of nearness between two fuzzy sets with respect to any positive real number.

Moreover, under ϕ-contraction condition, in the fuzzy metric space, we give some common fixed point theorems for fuzzy mappings.