  Neutron and proton driplines of single-$\Lambda$ and double-$\Lambda$
hypernuclei, $\Xi^{-}$ hypernuclei as well as normal nuclei are studied within
a relativistic mean field approach using an extended form of the FSU Gold
Lagrangian density. Hyperons are found to produce bound nuclei beyond the
normal nuclear driplines. Radii are found to decrease in hypernuclei near the
driplines, in line with observations in light $\Lambda$ hypernuclei near the
stability valley, The inclusion of a $\Xi^{-}$ introduces a much larger change
in radii than one or more $\Lambda$'s.
