  We calculate the superconducting $T_c$ for a system which experiences Rashba
spin-orbit interactions. Contrary to the usual case where the electron-electron
interaction is assumed to be wave vector-independent, where superconductivity
is suppressed by the spin-orbit interaction (except for a small region at low
electron or hole densities), we find an enhancement of the superconducting
transition temperature when we include a correlated hopping interaction between
electrons. This interaction originates in the expansion of atomic orbitals due
to electron-electron repulsion and gives rise to superconductivity only at high
electron (low hole) densities. When superconductivity results from this
interaction it is enhanced by spin-orbit coupling, in spite of a suppression of
the density of states. The degree of electron-hole asymmetry about the Fermi
surface is also enhanced.
