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A note on stability of stationary points in mathematical programs with generalized complementarity constraints
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SYSNO ASEP 0461163 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title A note on stability of stationary points in mathematical programs with generalized complementarity constraints Author(s) Červinka, Michal (UTIA-B) RID, ORCID Number of authors 1 Source Title Optimization. - : Taylor & Francis - ISSN 0233-1934
Roč. 65, č. 5 (2016), s. 1049-1060Number of pages 12 s. Publication form Print - P Language eng - English Country DE - Germany Keywords parameter-dependent mathematical programs with generalized equilibrium constraints ; M-stationarity ; C-stationarity ; isolated calmness ; Aubin property Subject RIV BA - General Mathematics R&D Projects GAP402/12/1309 GA ČR - Czech Science Foundation (CSF) Institutional support UTIA-B - RVO:67985556 UT WOS 000372835900003 EID SCOPUS 84946600068 DOI 10.1080/02331934.2015.1107560 Annotation We consider parameter-dependent mathematical programs with constraints governed by the generalized non-linear complementarity problem and with additional non-equilibrial constraints. We study a local behaviour of stationarity maps that assign the respective C- or M-stationarity points of the problem to the parameter. Using generalized differential calculus rules, we provide criteria for the isolated calmness and the Aubin properties of stationarity maps considered. To this end, we derive and apply formulas of some particular objects of the third- order variational analysis. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2017
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