On Lipschitzian properties of implicit multifunctions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F16%3A00467536" target="_blank" >RIV/67985556:_____/16:00467536 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1137/15M1052299" target="_blank" >http://dx.doi.org/10.1137/15M1052299</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/15M1052299" target="_blank" >10.1137/15M1052299</a>
Alternative languages
Result language
angličtina
Original language name
On Lipschitzian properties of implicit multifunctions
Original language description
This paper is devoted to the development of new sufficient conditions for the calmnessnand the Aubin property of implicit multifunctions. As the basic tool we employ the directionalnlimiting coderivative which, together with the graphical derivative, enables a fine analysis of thenlocal behavior of the investigated multifunction along relevant directions. For verification of thencalmness property, in addition, a new condition has been discovered which parallels the missingnimplicit function paradigm and permits us to replace the original multifunction by a substantiallynsimpler one. Moreover, as an auxiliary tool, a handy formula for the computation of the directionalnlimiting coderivative of the normal-cone map with a polyhedral set has been derived which perfectlynmatches the framework of [A. L. Dontchev and R. T. Rockafellar, SIAM J. Optim., 6 (1996),npp. 1087-1105]. All important statements are illustrated by examples.
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/GA15-00735S" target="_blank" >GA15-00735S: Stability analysis of 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
SIAM Journal on Optimization
ISSN
1052-6234
e-ISSN
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Volume of the periodical
26
Issue of the periodical within the volume
4
Country of publishing house
US - UNITED STATES
Number of pages
30
Pages from-to
2160-2189
UT code for WoS article
000391853600008
EID of the result in the Scopus database
2-s2.0-85007227339