  We have investigated a cosmological model with variable speed of light (c),
gravitational constant (G) and cosmological constant (Lambda). The model is
shown to solve the horizon, flatness and monopole problems of the early
universe. We have found that with a certain variation of these parameters the
model predicts a cosmic acceleration. The model also predicts that for a flat
universe Lambda vanishes in both radiation and matter phases. If the
gravitational constant is allowed to increase then we might not need the
existence of dark matter.
