A note on stability of stationary points in mathematical programs with generalized complementarity constraints
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F16%3A00461163" target="_blank" >RIV/67985556:_____/16:00461163 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1080/02331934.2015.1107560" target="_blank" >http://dx.doi.org/10.1080/02331934.2015.1107560</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/02331934.2015.1107560" target="_blank" >10.1080/02331934.2015.1107560</a>
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
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GAP402%2F12%2F1309" target="_blank" >GAP402/12/1309: A Multivalued Approach to Optima and Equilibria in Economics</a><br>
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