PERTURBATION ANALYSIS OF MONOTONE GENERALIZED EQUATIONS

Abstract

Our goal is to establish new methods and results in reflexive Banach spaces to the theory of local stability of the solutions of some non- compact. generalized equations, including parametric variational inequalities. The continuity of the projections of a fixed point onto a family of nonempty, closed, convex sets will be also studied using these methods. The results from this paper generalize results proved in finit dimensional spaces and Hilbert spaces.