  We show that the direct sum of Banach spaces $X_{1},..., X_{r}$ with a
strictly monotone norm has the weak fixed point property for nonexpansive
mappings whenever $M(X_{i})>1$ for each $i=1,...,r$. In particular, $(X_{1}
\oplus ... \oplus X_{r})_{\psi}$ enjoys the fixed point property if Banach
spaces $X_{i}$ are uniformly nonsquare. This combined with the earlier results
gives a definitive answer for r=2: the direct sum of uniformly nonsquare spaces
$X_{1}, X_{2}$ with any monotone norm has FPP. Our results are extended for
asymptotically nonexpansive mappings in the intermediate sense.
