on well-posedness of generalized equilibrium problems involving α-monotone bifunction

The aim of this paper is to establish some uniqueness and well-posedness results for a general inequality of equilibrium problems type involving α -monotone bifunction, whose solution is sought in a subset k of a banach space x. some metric character- izations and sucient conditions for these types of well-posedness are obtained. moreover, we prove that the well-posedness of gen- eralized equilibrium problems is equivalent to the existence and uniqueness of its solution.