Duality for Equilibrium Problems under General Monotonicity
I. V. Konnov, Siegfried Schaible · 1999
Duality is studied for an abstract equilibrium problem which includes, among others, optimization problems and variational inequality problems. Follwing different schemes, various duals are proposed and primal-dual relationships are established under certaing generalized convexity and generalized monotonicity assumptions. In a primal-dual setting, existence results for a solution are derived for different generalized monotone equilibrium problems within each duality scheme.