Characterization of strict convexity for locally Lipschitz functions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F09%3A10212597" target="_blank" >RIV/61989592:15310/09:10212597 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Characterization of strict convexity for locally Lipschitz functions
Original language description
The first goal of this paper is improving of our previous result (Nonlinear Anal. TMA 57 (2004), 85-97),i.e., the characterization of convexity for regularly locally Lipschitz functions by means of the second-order upper (Dini) directional derivative. Using the (Dini) type of generalized second-order directional derivative, we also provide the characterization of strict convexity for locally Lipschitz functions. As application of this characterization, we can obtain the second-order sufficient optimality condition introduced by R.~Cominetti and R.~Correa.
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
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2009
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Rocky Mountain Journal of Mathematics
ISSN
0035-7596
e-ISSN
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Volume of the periodical
39
Issue of the periodical within the volume
6
Country of publishing house
US - UNITED STATES
Number of pages
21
Pages from-to
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UT code for WoS article
000273523500016
EID of the result in the Scopus database
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