On the Aubin property of a class of parameterized variational systems

H. Gfrerer () and J. V. Outrata ()
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H. Gfrerer: Johannes Kepler University Linz
J. V. Outrata: Academy of Sciences of the Czech Republic

Mathematical Methods of Operations Research, 2017, vol. 86, issue 3, No 2, 443-467

Abstract: Abstract The paper deals with a new sharp condition ensuring the Aubin property of solution maps to a class of parameterized variational systems. This class encompasses various types of parameterized variational inequalities/generalized equations with fairly general constraint sets. The new condition requires computation of directional limiting coderivatives of the normal-cone mapping for the so-called critical directions. The respective formulas have the form of a second-order chain rule and extend the available calculus of directional limiting objects. The suggested procedure is illustrated by means of examples.

Keywords: Solution map; Aubin property; Graphical derivative; Directional limiting coderivative; 49J53; 90C31; 90C46 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s00186-017-0596-y

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