Duality for equilibrium problems under generalized monotonicity

Duality is studied for an abstract equilibrium problem which includes, amon g others, optimization problems and variational inequality problems. Follow ing different schemes, various duals are proposed and primal-dual relations hips are established under certain generalized convexity and generalized mo notonicity assumptions. In a primal-dual setting, existence results for a s olution are derived for different generalized monotone equilibrium problems within each duality scheme.