Contractive conditions introduced in [Q. Zhang and Y. Song, Fixed point theory for generalized $\varphi$-weak contraction, Appl. Math. Lett. 22(2009), 75-78] and [D. Dori\'c, Common fixed point for generalized $(\psi,\varphi)$-weak contractions, Applied Mathematics Letters, 22(2009), 1896-1900] are employed to obtain a new common fixed point theorem for four maps. Our result substantially generalizes comparable results in the literature.