  We demonstrate that in the supersymmetric extensions of a class of
generalized (or K) field theories introduced recently, the static energy
satisfies a BPS bound in each topological sector. Further, the corresponding
soliton solutions saturate the bound. We also find strong indications that the
BPS bound shows up in the SUSY algebra as a central extension, as is the case
in the well-known supersymmetric field theories with standard kinetic terms.
