On controlled Stampacchia-type vector variational inequalities
Cristina‐Mihaela Cebuc, Savin Treanţă · Control and Cybernetics · 2024
Abstract This paper establishes connections between new classes of generalized Stampacchia (weak) vector variational control inequalities and the corresponding multiple-objective extremization problems. In this regard, we introduce the concepts of (strictly) strong convexity and preconvexity, associated with controlled multiple integral type functionals, and a mean value type theorem.