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Statements

Subject Item
n2:RIV%2F61989592%3A15310%2F09%3A10212597%21RIV11-MSM-15310___
rdf:type
skos:Concept n17:Vysledek
dcterms: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. 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.
dcterms:title
Characterization of strict convexity for locally Lipschitz functions Characterization of strict convexity for locally Lipschitz functions
skos:prefLabel
Characterization of strict convexity for locally Lipschitz functions Characterization of strict convexity for locally Lipschitz functions
skos:notation
RIV/61989592:15310/09:10212597!RIV11-MSM-15310___
n3:aktivita
n6:Z
n3:aktivity
Z(MSM6198959214)
n3:cisloPeriodika
6
n3:dodaniDat
n13:2011
n3:domaciTvurceVysledku
n4:5381797
n3:druhVysledku
n18:J
n3:duvernostUdaju
n10:S
n3:entitaPredkladatele
n12:predkladatel
n3:idSjednocenehoVysledku
306796
n3:idVysledku
RIV/61989592:15310/09:10212597
n3:jazykVysledku
n16:eng
n3:klicovaSlova
Strict convexity.; Convexity; Regular functions; Locally Lipschitz functions; Generalized second-order derivative
n3:klicoveSlovo
n5:Convexity n5:Strict%20convexity. n5:Generalized%20second-order%20derivative n5:Locally%20Lipschitz%20functions n5:Regular%20functions
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[B23DBACC5EA0]
n3:nazevZdroje
Rocky Mountain Journal of Mathematics
n3:obor
n14:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:rokUplatneniVysledku
n13:2009
n3:svazekPeriodika
39
n3:tvurceVysledku
Pastor, Karel
n3:wos
000273523500016
n3:zamer
n8:MSM6198959214
s:issn
0035-7596
s:numberOfPages
21
n11:organizacniJednotka
15310