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Statements

Subject Item
n2:RIV%2F67985840%3A_____%2F09%3A00337028%21RIV10-AV0-67985840
rdf:type
n5:Vysledek skos:Concept
dcterms:description
We prove a variational principle in reflexive Banach spaces X with Kadec-Klee norm, which asserts that any Lipschitz (or any proper lower semicontinuous bounded from below extended real-valued) function in X can be perturbed with a parabola in such a way that the perturbed function attains its infimum (even more can be said - the infimum is well-posed). In addition, we have genericity of the points determining the parabolas. We prove also that the validity of such a principle actually characterizes the reflexive spaces with Kadec-Klee norm. This principle turns out to be an analytic counterpart of a result of K.-S. Lau on nearest points. We prove a variational principle in reflexive Banach spaces X with Kadec-Klee norm, which asserts that any Lipschitz (or any proper lower semicontinuous bounded from below extended real-valued) function in X can be perturbed with a parabola in such a way that the perturbed function attains its infimum (even more can be said - the infimum is well-posed). In addition, we have genericity of the points determining the parabolas. We prove also that the validity of such a principle actually characterizes the reflexive spaces with Kadec-Klee norm. This principle turns out to be an analytic counterpart of a result of K.-S. Lau on nearest points.
dcterms:title
A Variational Principle in Reflexive Spaces with Kadec-Klee Norm A Variational Principle in Reflexive Spaces with Kadec-Klee Norm
skos:prefLabel
A Variational Principle in Reflexive Spaces with Kadec-Klee Norm A Variational Principle in Reflexive Spaces with Kadec-Klee Norm
skos:notation
RIV/67985840:_____/09:00337028!RIV10-AV0-67985840
n3:aktivita
n6:Z n6:P
n3:aktivity
P(GA201/04/0090), Z(AV0Z10190503)
n3:cisloPeriodika
1
n3:dodaniDat
n18:2010
n3:domaciTvurceVysledku
n10:6345328
n3:druhVysledku
n12:J
n3:duvernostUdaju
n8:S
n3:entitaPredkladatele
n16:predkladatel
n3:idSjednocenehoVysledku
301649
n3:idVysledku
RIV/67985840:_____/09:00337028
n3:jazykVysledku
n15:eng
n3:klicovaSlova
reflexive space; Kadec-Klee norm; variational principle; perturbed function; well-posed infimum
n3:klicoveSlovo
n7:perturbed%20function n7:Kadec-Klee%20norm n7:well-posed%20infimum n7:variational%20principle n7:reflexive%20space
n3:kodStatuVydavatele
DE - Spolková republika Německo
n3:kontrolniKodProRIV
[38DA195A5D51]
n3:nazevZdroje
Journal of Convex Analysis
n3:obor
n14:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:projekt
n11:GA201%2F04%2F0090
n3:rokUplatneniVysledku
n18:2009
n3:svazekPeriodika
16
n3:tvurceVysledku
Revalski, J. P. Fabian, Marián
n3:wos
000268197200011
n3:zamer
n17:AV0Z10190503
s:issn
0944-6532
s:numberOfPages
16