In this paper, the authors have defined some properties in M-fuzzy metric spaces defined by Sedgi and Shobe  and
they established some common coupled fixed point theorems in M-fuzzy metric space using an implicit relation. They
defined the notion of (E.A.) property and common (E.A.) property for the pair of mappings defined in — fuzzy metric
space. The obtained results extend, generalize, and improve several results of D - metric spaces defined by Dhage 
and metric spaces to generalized fuzzy metric spaces or M-fuzzy metric spaces.