Stability Analysis for Parameterized Variational Systems with Implicit Constraints |
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Authors: | Benko Matúš Gfrerer Helmut Outrata Jiří V. |
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Affiliation: | 1.Institute of Computational Mathematics, Johannes Kepler University Linz, A-4040, Linz, Austria ;2.Institute of Information Theory Automation, Academy of Sciences of the Czech Republic, 18208, Prague, Czech Republic ;3.Centre for Informatics Applied Optimization, Federation University of Australia, POB 663, Ballarat, Vic, 3350, Australia ; |
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Abstract: | In the paper we provide new conditions ensuring the isolated calmness property and the Aubin property of parameterized variational systems with constraints depending, apart from the parameter, also on the solution itself. Such systems include, e.g., quasi-variational inequalities and implicit complementarity problems. Concerning the Aubin property, possible restrictions imposed on the parameter are also admitted. Throughout the paper, tools from the directional limiting generalized differential calculus are employed enabling us to impose only rather weak (non- restrictive) qualification conditions. Despite the very general problem setting, the resulting conditions are workable as documented by some academic examples. |
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