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.
Projected Solutions of Generalized Quasivariational Problems in Banach Spaces
Marco Castellani;Massimiliano Giuli;Monica Milasi
2023-01-01
Abstract
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.File in questo prodotto:
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