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

0461163 - ÚTIA 2017 RIV DE eng J - Journal Article
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
R&D Projects: GA ČR GAP402/12/1309
Institutional support: RVO:67985556
Keywords : parameter-dependent mathematical programs with generalized equilibrium constraints * M-stationarity * C-stationarity * isolated calmness * Aubin property
Subject RIV: BA - General Mathematics
Impact factor: 0.943, year: 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.
Permanent Link: http://hdl.handle.net/11104/0261534