On perturbations of the Schwarzschild anti-de Sitter spaces of positive   mass
  In this paper we prove the Penrose inequality for metrics that are small perturbations of the Schwarzschild anti-de Sitter metrics of positive mass. We use the existence of a global foliation by weakly stable constant mean curvature spheres and the monotonicity of the Hawking mass. 
Lucas C. Ambrozio
math.DG