Characterization of strict convexity for locally Lipschitz functions

Kód výsledku v IS VaVaI
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Výsledek na webu
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DOI - Digital Object Identifier
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Jazyk výsledku
angličtina
Název v původním jazyce
Characterization of strict convexity for locally Lipschitz functions
Popis výsledku v původním jazyce
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.
Název v anglickém jazyce
Characterization of strict convexity for locally Lipschitz functions
Popis výsledku anglicky
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.

Druh
J<sub>x</sub> - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
CEP obor
BA - Obecná matematika
OECD FORD obor
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Rok uplatnění
2009
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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