Duality is studied for an abstract equilibrium problem which generalizes several classical problems including models in optimization and variational problems. Following different schemes, various duals are proposed and primal-dual relationships are established under certain generalized convexity...

In optimization, objective functions which are both pseudoconvex and pseudoconcave have extensively been studied. Generalizing these results, we characterize pseudomonotone maps F where also -F is pseudomonotone and explore their properties in variational inequality problems. In particular, we...

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...