Fixed point theorems of -fuzzy contractions in fuzzy metric spaces endowed with a graph
Let be a fuzzy metric space endowed with a graph such that the set of vertices of coincides with . Then we define a -fuzzy contraction on and prove some results concerning the existence and uniqueness of fixed point for such mappings. As a consequence of the main results we derive some extensions of known results from metric into fuzzy metric spaces. Some examples are given which illustrate the results.