On a pair of fuzzy -contractive mappings

We establish common fixed point theorems for fuzzy mappings under a φ -contraction condition on a metric space with the d ∞ -metric (induced by the Hausdorff metric) on the family of fuzzy sets. The study of fixed points of fuzzy set-valued mappings related to the d ∞ -metric is useful in geometric problems arising in high energy physics. Our results generalize some recent results.