In this work we have shown that an affirmative answer was already given in [1, 5] to the question raised in [4] and have extended a fixed point theorem by L.Ćirić [4] to a larger class of PM spaces. In the final part of the paper we have shown that the result can be yet improved by a common fixed point theorem for a semigroups of ϕ-probabilistic contractions.

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A necessary and sufficient condition for a probabilistic metric space to be complete is given and the uniform limit theorem [2] is generalized to probabilistic metric space.

In this paper we introduce the notions of (f, g)-Boyd-Wong contraction map, (f, g)-orbit of h starting at a point and we give some conditions of which f , g and h have a coincidence point and a unique common fixed point. Mathematics Subject Classification: Primary 54h25, 47H10

Our main purpose in this paper is to introduce the notion of φcontractive mapping in fuzzy metric spaces and to present two new results on the existence and the approximation of fixed point of nonlinear contractions mappings and semigroups in fuzzy metric spaces. These results are of interest in view of analogous results in metric spaces (see for example [1], [7]) Mathematics Subject Classification: Primary 47H10, 54H25