GLOBAL ERROR-BOUNDS FOR CONVEX MULTIFUNCTIONS AND APPLICATIONS

We give some results on the existence of global error bounds for conve x multifunctions between normed linear spaces (until the present, only some results on local error bounds have been known in this general se tting). As applications we obtain, among others, improvements of a the orem of Robinson on global error bounds for convex inequalities, of a result of Luo and Tseng on uniform boundedness of the Hoffman constant s for linear inequalities and equalities, and of Lotov's result on poi ntwise Lipschitz continuity of the solution sets of linear inequalitie s, with respect to data perturbations.