This HTML5 document contains 44 embedded RDF statements represented using HTML+Microdata notation.

The embedded RDF content will be recognized by any processor of HTML5 Microdata.

Namespace Prefixes

PrefixIRI
dctermshttp://purl.org/dc/terms/
n17http://linked.opendata.cz/resource/domain/vavai/riv/tvurce/
n4http://linked.opendata.cz/resource/domain/vavai/projekt/
n13http://linked.opendata.cz/ontology/domain/vavai/
n6http://linked.opendata.cz/resource/domain/vavai/zamer/
n12http://linked.opendata.cz/resource/domain/vavai/vysledek/RIV%2F67985840%3A_____%2F06%3A00079324%21RIV07-AV0-67985840/
shttp://schema.org/
skoshttp://www.w3.org/2004/02/skos/core#
n3http://linked.opendata.cz/ontology/domain/vavai/riv/
n2http://linked.opendata.cz/resource/domain/vavai/vysledek/
rdfhttp://www.w3.org/1999/02/22-rdf-syntax-ns#
n10http://linked.opendata.cz/ontology/domain/vavai/riv/klicoveSlovo/
n11http://linked.opendata.cz/ontology/domain/vavai/riv/duvernostUdaju/
xsdhhttp://www.w3.org/2001/XMLSchema#
n16http://linked.opendata.cz/ontology/domain/vavai/riv/aktivita/
n8http://linked.opendata.cz/ontology/domain/vavai/riv/jazykVysledku/
n18http://linked.opendata.cz/ontology/domain/vavai/riv/druhVysledku/
n14http://linked.opendata.cz/ontology/domain/vavai/riv/obor/
n15http://reference.data.gov.uk/id/gregorian-year/

Statements

Subject Item
n2:RIV%2F67985840%3A_____%2F06%3A00079324%21RIV07-AV0-67985840
rdf:type
skos:Concept n13:Vysledek
dcterms:description
Studujeme epsilon-fréchetovskou diferencovatelnost lipschityovských funkcí na asplundovsky generovaných Banachových prostorech. Dokazujeme větu o střední hodnotě a její ekvivalent, formuli pro vyjádření Clarkeho subdiferenciálu a pomocí tohoto pojmu. Ukazujeme, že v řadě důkazů, kde se používá hluboká Preissova věta o diferencovatelnosti konvexních funkcí, se vystačí se slabším pojmem epsilon-fréchetovské diferencovatelnosti a příslušným lemmate Fabiana a Preisse pro tento pojem platící. Je to ukázáno na argumentech podaných Boreinem, Fitzpatrickem, Gillesem, Scifferem, Benyaminim a Lindenstraussem. We study the epsilon-Fréchet differentiability of Lipschitz functions on Asplund generated Banach spaces. We prove a mean valued theorem and its equivalent, a formula for Clarke´s subdifferential, in terms of this concept. We inspect proofs of several statements based on the deep Preiss´s theorem on Fréchet differentiability of Lipschitz functions and we recognize that it is enough to use a simpler lemma on epsilon-Fréchet differentiability due to Fabian and Preiss. We do so for generic differentiability results of Giles and Sciffer, for the existence of nearest points of Borwein and Fitzpatrick, etc. We also show that the epsilon-Fréchet differentiability is separably reducible. We study the epsilon-Fréchet differentiability of Lipschitz functions on Asplund generated Banach spaces. We prove a mean valued theorem and its equivalent, a formula for Clarke´s subdifferential, in terms of this concept. We inspect proofs of several statements based on the deep Preiss´s theorem on Fréchet differentiability of Lipschitz functions and we recognize that it is enough to use a simpler lemma on epsilon-Fréchet differentiability due to Fabian and Preiss. We do so for generic differentiability results of Giles and Sciffer, for the existence of nearest points of Borwein and Fitzpatrick, etc. We also show that the epsilon-Fréchet differentiability is separably reducible.
dcterms:title
Epsilon-Fréchet Differentiability of Lipschitz Functions and Applications Epsilon-fréchetovská diferencovatelnost lipschitzovských funkcí a aplikace Epsilon-Fréchet Differentiability of Lipschitz Functions and Applications
skos:prefLabel
Epsilon-fréchetovská diferencovatelnost lipschitzovských funkcí a aplikace Epsilon-Fréchet Differentiability of Lipschitz Functions and Applications Epsilon-Fréchet Differentiability of Lipschitz Functions and Applications
skos:notation
RIV/67985840:_____/06:00079324!RIV07-AV0-67985840
n3:strany
695;709
n3:aktivita
n16:Z n16:P
n3:aktivity
P(GA201/04/0090), Z(AV0Z10190503)
n3:cisloPeriodika
4
n3:dodaniDat
n15:2007
n3:domaciTvurceVysledku
n17:6345328
n3:druhVysledku
n18:J
n3:duvernostUdaju
n11:S
n3:entitaPredkladatele
n12:predkladatel
n3:idSjednocenehoVysledku
474372
n3:idVysledku
RIV/67985840:_____/06:00079324
n3:jazykVysledku
n8:eng
n3:klicovaSlova
epsilon-Fréchet differentiability; mean value theorem; local epsilon-support
n3:klicoveSlovo
n10:mean%20value%20theorem n10:local%20epsilon-support n10:epsilon-Fr%C3%A9chet%20differentiability
n3:kodStatuVydavatele
DE - Spolková republika Německo
n3:kontrolniKodProRIV
[0CD130ABE6F2]
n3:nazevZdroje
Journal of Convex Analysis
n3:obor
n14:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
3
n3:projekt
n4:GA201%2F04%2F0090
n3:rokUplatneniVysledku
n15:2006
n3:svazekPeriodika
13
n3:tvurceVysledku
Loewen, P. D. Fabian, Marián Wang, X.
n3:zamer
n6:AV0Z10190503
s:issn
0944-6532
s:numberOfPages
15