The purpose of this paper is to utilize the property (E.A.) and the common property (E.A.) to prove some existence results on common fixed point for contractive mappings in fuzzy metric spaces which include fuzzy metric spaces of two types, namely, Kramosil and Michalek fuzzy metric spaces along with George and Veeramani fuzzy metric spaces. Our results generalize and extend several relevant common fixed point theorems from the literature. We also furnish an illustrative example.