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We investigate the validity of the generalized second law of gravitationalthermodynamics on the apparent and event horizons in a non-flat FRW universecontaining the interacting dark energy with dark matter. We show that for thedynamical apparent horizon, the generalized second law is always satisfiedthroughout the history of the universe for any spatial curvature and it isindependent of the equation of state parameter of the interacting dark energymodel. Whereas for the cosmological event horizon, the validity of thegeneralized second law depends on the equation of state parameter of the model.

The generalized second law of gravitational thermodynamics on the apparent and event horizons in FRW cosmology