Nonlinear Contractions and Semigroups in Complete Fuzzy Metric Spaces

Our main purpose in this paper is to introduce the notion of φ-contractive 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 exampl