A note on the definition of a generalized fuzzy normed space
We reconsider the definition of a generalized fuzzy normed space from [I. Gole?, On generalized fuzzy normed spaces and coincidence point theorems, Fuzzy Sets and Systems 161 (2010) 11381144], showing that the mapping used in the homogeneity axiom must satisfy the multiplicative Cauchy functional equation. Therefore, generalized fuzzy normed spaces are, in fact, fuzzy p -normed spaces with p>0 p > 0 .
generalized fuzzy normed space t-norm of h-type p-normed space