A note on stability of stationary points in mathematical programs with generalized complementarity constraints

0461163 - ÚTIA 2017 RIV DE eng J - Článek v odborném periodiku
Červinka, Michal
A note on stability of stationary points in mathematical programs with generalized complementarity constraints.
Optimization. Roč. 65, č. 5 (2016), s. 1049-1060. ISSN 0233-1934. E-ISSN 1029-4945
Grant CEP: GA ČR GAP402/12/1309
Institucionální podpora: RVO:67985556
Klíčová slova: parameter-dependent mathematical programs with generalized equilibrium constraints * M-stationarity * C-stationarity * isolated calmness * Aubin property
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.943, rok: 2016
http://library.utia.cas.cz/separaty/2016/MTR/cervinka-0461163.pdf

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.
Trvalý link: http://hdl.handle.net/11104/0261534