  We study theoretically fusion of the light proton-rich exotic nuclei $^{17}$F
and $^8$B at near-barrier energies in order to investigate the possible role of
breakup processes on their fusion cross sections. To this end, coupled channel
calculations are performed considering the couplings to the breakup channels of
these projectiles. In case of $^{17}$F, the coupling arising out of the
inelastic excitation from the ground state to the bound excited state and its
couplings to the continuum have also been taken into consideration. It is found
that the inelastic excitation/breakup of $^{17}$F affect the fusion cross
sections very nominally even for a heavy target like Pb. On the other hand,
calculations for fusion of the one-proton halo nucleus $^8$B on a Pb target
show a significant suppression of the complete fusion cross section above the
Coulomb barrier. This is due to the larger breakup probability of $^8$B as
compared to that of $^{17}$F. However, even for $^8$B, there is little change
in the complete fusion cross sections as compared to the no-coupling case at
sub-barrier energies.
