  The effects of an additional $K^-$ meson on the neutron and proton drip lines
are investigated within Skyrme-Hartree-Fock approach combined with a
Skyrme-type kaon-nucleon interaction. While an extension of the proton drip
line is observed due to the strongly attractive $K^-p$ interaction, contrasting
effects (extension and reduction) on the neutron drip line of Be, O, and Ne
isotopes are found. The origin of these differences is attributed to the
behavior of the highest-occupied neutron single-particle levels near the
neutron drip line.
