note on “coupled fixed point theorems for contractions in fuzzy metric spaces”

in the paper “coupled fixed point theorems for contractions in fuzzy metric spaces” by sedghi et al. [s. sedghi, i. altun, n. shobec, coupled fixed point theorems for contractions in fuzzy metric spaces, nonlinear analysis 72 (2010) 1298–1304], a coupled common fixed point result was presented. however, our purpose is to show that this result and its proof are false. we give a counterexample and also explain how to correct this result. as a modification, we state and prove a coupled fixed point theorem under some hypotheses of fuzzy metric and t-norm.