Approximate values for mathematical programs with variational inequality constraints

Authors:
M. Beatrice Lignola;Jacqueline Morgan
Affiliations:
Dipartimento di Matematica e Applicazioni R. Caccioppoli, Università di Napoli Federico II, Napoli, Italy 80125;Dipartimento di Matematica e Statistica & CSEF, Universitàà di Napoli Federico II, Napoli, Italy 80126
Venue:
Computational Optimization and Applications
Year:
2012

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Abstract

In general the infimal value of a mathematical program with variational inequality constraints (MPVI) is not stable under perturbations in the sense that the sequence of infimal values for the perturbed programs may not converge to the infimal value of the original problem even in presence of nice data. Thus, for these programs we consider different types of values which approximate the exact value from below or/and from above under or without perturbations.