A note on stability of stationary points in mathematical programs with generalized complementarity constraints
Result description
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.
Keywords
parameter-dependent mathematical programs with generalized equilibrium constraintsM-stationarityC-stationarityisolated calmnessAubin property
The result's identifiers
Result code in IS VaVaI
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
A note on stability of stationary points in mathematical programs with generalized complementarity constraints
Original language description
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.
Czech name
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Czech description
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Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
GAP402/12/1309: A Multivalued Approach to Optima and Equilibria in Economics
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Optimization
ISSN
0233-1934
e-ISSN
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Volume of the periodical
65
Issue of the periodical within the volume
5
Country of publishing house
DE - GERMANY
Number of pages
12
Pages from-to
1049-1060
UT code for WoS article
000372835900003
EID of the result in the Scopus database
2-s2.0-84946600068
Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BA - General mathematics
Year of implementation
2016