The classic metric regularity condition for systems is applied to the feasible region of a constrained extremum problem. In order to involve in this condition also the objective function, a problem equivalent to the given one is considered and a metric regularity condition for the new problem is obtained. Such a condition, as well as the original one, is compared with regularity conditions existing in the literature, in particular with some image regularity conditions.
Metric Regular Maps and Regularity for Constrained Extremum Problems
PELLEGRINI, Letizia
2010-01-01
Abstract
The classic metric regularity condition for systems is applied to the feasible region of a constrained extremum problem. In order to involve in this condition also the objective function, a problem equivalent to the given one is considered and a metric regularity condition for the new problem is obtained. Such a condition, as well as the original one, is compared with regularity conditions existing in the literature, in particular with some image regularity conditions.
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