On the Aubin property of a class of parameterized variational systems
Optimization and Control
2017-04-04 v1
Abstract
The paper deals with a new sharp criterion ensuring the Aubin property of solution maps to a class of parameterized variational systems. This class includes parameter-dependent variational inequalities with non-polyhedral constraint sets and also parameterized generalized equations with conic constraints. The new criterion 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
Cite
@article{arxiv.1704.00536,
title = {On the Aubin property of a class of parameterized variational systems},
author = {Helmut Gfrerer and Jiří V Outrata},
journal= {arXiv preprint arXiv:1704.00536},
year = {2017}
}
Comments
20 pages, 1 figure