We generalize the Hausdorff fuzzy metric in the sense of Rodríguez-López and Romaguera, and we introduce a new -fuzzy metric, where -fuzzymetric can be thought of as the degree of nearness between two fuzzy sets with respect to any positive real number. Moreover, under -contraction condition, in the fuzzy metric space, we give some common fixed point theorems for fuzzy mappings.
"Common Fixed Point Theorems in a New Fuzzy Metric Space." J. Appl. Math. 2012 (SI03) 1 - 18, 2012. https://doi.org/10.1155/2012/890678