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On the Aubin property of a class of parameterized variational systems |
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| Authors: | H Gfrerer J V Outrata |
| Institution: | 1.Institute of Computational Mathematics,Johannes Kepler University Linz,Linz,Austria;2.Institute of Information Theory and Automation,Academy of Sciences of the Czech Republic,Prague,Czech Republic;3.Centre for Informatics and Applied Optimization,Federation University of Australia,Ballarat,Australia |
| 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. |
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