JOHANNES KEPLER UNIVERSITY LINZ Institute of Computational Mathematics First-Order Characterizations of Metric Subregularity and Calmness of Constraint Set Mappings
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چکیده
A condition ensuring metric subregularity (respectively calmness) of general multifunctions between Banach spaces is derived. In finite dimensions this condition can be expressed in terms of a derivative which appears to be a combination of the coderivative and the contingent derivative. It is further shown that this sufficient conditions is in some sense the weakest possible first-order condition sufficient for subregularity. We extend this condition under the additional assumption that one part of the multifunction is known to be subregular in advance. Special attention is given to constraint systems as they occur in optimization.
منابع مشابه
JOHANNES KEPLER UNIVERSITY LINZ Institute of Computational Mathematics Second Order Conditions for Metric Subregularity of Smooth Constraint Systems
Metric subregularity (respectively calmness) of multifunctions is a property which is not stable under smooth perturbations, implying that metric subregularity cannot be fully characterized by first order theory. In this paper we derive second order conditions for metric subregularity, both sufficient and necessary, for multifunctions associated with constraint systems as they occur in optimiza...
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