This paper deals with a generalized version of fuzzy closed sets in fuzzy m-spaces [2]. Using this concept as a basic tool, we introduce a generalized version of closed and open functions in fuzzy m-spaces. Several characterizations of these functions are proved. Moreover, a generalized version of continuity in fuzzy m-space is introduced and studied. Afterwards, several applications of this type of function are given in the study of general-ized versions of fuzzy regular, fuzzy normal and fuzzy compact spaces, in the setting of fuzzy m-spaces.