- Title
- Stability analysis for parameterized variational systems with implicit constraints
- Creator
- Benko, Matus; Gfrerer, Helmut; Outrata, Jiri
- Date
- 2020
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/172025
- Identifier
- vital:14405
- Identifier
-
https://doi.org/10.1007/s11228-019-00516-1
- Identifier
- ISBN:0927-6947 (ISSN)
- 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. © 2019, The Author(s).
- Publisher
- Springer
- Relation
- Set-Valued and Variational Analysis Vol. 28, no. 1 (2020), p. 167-193
- Rights
- Copyright © The Author(s) 2019
- Rights
- Open Access
- Rights
- http://purl.org/au-research/grants/arc/DP160100854
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0101 Pure Mathematics; Aubin property; Isolated calmness property; Parameterized variational system; Solution map
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