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 different types of values, which approximate the exact value from below or/and from above, are considered under or without perturbations.
Approximate values for mathematical programs with variational inequality constraints / Lignola, MARIA BEATRICE; Morgan, Jacqueline. - In: COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. - ISSN 0926-6003. - 53:(2012), pp. 485-503. [10.1007/s10589-012-9470-2]
Approximate values for mathematical programs with variational inequality constraints
LIGNOLA, MARIA BEATRICE;MORGAN, JACQUELINE
2012
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 different types of values, which approximate the exact value from below or/and from above, are considered under or without perturbations.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
