Well-posedness for Optimization Problems with Constraints defined by Variational Inequalities having a unique solution

Authors:
M. Beatrice Lignola;Jacqueline Morgan
Affiliations:
Dipartimento di Matematica e Applicazioni `R. Caccioppoli', Università/ degli Studi di Napoli `Federico II', Via Claudio 21, 80125 Napoli/;Dipartimento di Matematica e Applicazioni `R. Caccioppoli', Università/ degli Studi di Napoli `Federico II', Compl. universitario Monte S. Angelo, Via Cintia, 80126 Napoli, Italy
Venue:
Journal of Global Optimization
Year:
2000

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Abstract

We introduce various notions of well-posedness for a family of variational inequalities and for an optimization problem with constraints defined by variational inequalities having a unique solution. Then, we give sufficient conditions for well-posedness of these problems and we present an application to an exact penalty method.