  The spin-orbit coupling can lead to exotic states of matter and unexpected
behavior of the system properties. In this paper, we investigate the influence
of spin-orbit coupling induced by proximity effects on a monolayer of
superconductor (with s-wave or d-wave pairing) placed on an insulating bulk. We
show that the critical temperatures $T_{c}$ of the superconducting states can
be tuned by the spin-orbit coupling both in the case of on-site and inter-site
pairing. Moreover, we discuss a possibility of changing the location of the
maximal $T_{c}$ from the half-filling into the underdoped or overdoped regimes.
