Projected Solutions of Generalized Quasivariational Problems in Banach Spaces

In this talk, we focus on the analysis of generalized quasivariational inequalities with non-self map by considering the concept of projected solution introduced by Aussel et al. We present some new existence results in Banach spaces: no monotonicity assumptions are required on the principal operator which is assumed to be norm-to-weak* upper semicontinuous with nonempty weak*-compact convex values. We show the applicability of our techniques by proposing the study of a quasiconvex quasioptimization problem by using the adjusted normal cone operator.