The aim of this paper is to establish some uniqueness and well-posedness results for a general inequality of equilibrium problems type involving\ alpha-monotone bifunction, whose solution is sought in a subset K of a Banach space X. By introducing several concepts of well-posedness for generalized equilibrium problems considered, we establish some metric characterizations of well posedness. Moreover, we prove that the well- posedness of generalized equilibrium problems is equivalent to the existence and ...
