Generic Uniqueness and Generic Well-posedness on a class of Equilibrium Problems

Abstract:

It is first constructed the spaces of the equilibrium problems with nonconvexity in compact or noncompact setting via the set-valued mapping, and proved the equilibrium problems possess generic unique properties that means, in the sense of Baire category, most equilibrium problems have unique solution. Then it is also obtained generic well-posedness on equilibrium problem by virtue of bounded rational model of unified the well-posedness. The characteristic expression theorems of the solutions are given at last.