On controlled Stampacchia-type vector variational inequalities

Cebuc, Cristina-Mihaela; Treanţă, Savin

doi:10.2478/candc-2024-0013

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.

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On controlled Stampacchia-type vector variational inequalities

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