Let S, T and A be self-maps on a metric space (X, d) satisfying the inclusions S(X) ⊂ A(X) and T (X) ⊂ A(X) and the inequalityd(Sx, T y) ≤ φ (max{d(Ax,Ay), d(Sx, Ax), d(T y,Ay),}) for all x, y ∈ X, where φ is an upper semicontinuous contractive modulus with φ(0) = 0 and φ(t) < t whenevert > 0. Singh and Mishra (1997) proved that if any one of the subspaces S(X), T (X) and A(X) of X is complete, then S, T and A will have a common coincidence point. Further if the pairs (A, S) and (A, T) commute at their coincidence points, that is (A, S) and (A, T) are weakly compatible pairs, then S, T and A will have a unique common fixed point. The present paper extends the above result to four self-maps under weaker form of the inequality (1). It can also be shown that the weak compatibility of either of the pairs (A, S) and (A, T) is sufficient to obtain a common fixed point for the three maps. © Research India Publications.