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  • Studujeme variační princip, ve kterém existuje jedna společná perturbační funkce .fi. pro každou vlastní zdola polospojitou reálně-hodnotovou funkci f definovanou na metrickém prostoru X. Podáváme nutné a postačující podmínky pro to, aby perturbovaná funkce f+ .fi. nabývala minimum. V případě separabilního Banachova prostoru dostáváme zvláštní princip, ve kterém společná perturbační funkce je navíc konvexní a diferencovatelná v Hadamardově smyslu. Toto umožňuje aplikovat princip v diferencovatelnosti konvexních funkcí na separabilních a obecnějších Banachových prostorech. (cs)
  • We study a variational principle in which there is one common perturbation function .fi. for every proper lower semicontinuous extended real-valued function f defined on a metric space X. Necessary and sufficient conditions are given in order for the perturbed function f + .fi. to attain its minimum. In the case of a separable Banach space we obtain a specific principle.
  • We study a variational principle in which there is one common perturbation function .fi. for every proper lower semicontinuous extended real-valued function f defined on a metric space X. Necessary and sufficient conditions are given in order for the perturbed function f + .fi. to attain its minimum. In the case of a separable Banach space we obtain a specific principle. (en)
Title
  • A One Perturbation Variational Principle and Applications
  • A One Perturbation Variational Principle and Applications (en)
  • Perturbační princip s jednou funkcí a aplikace (cs)
skos:prefLabel
  • A One Perturbation Variational Principle and Applications
  • A One Perturbation Variational Principle and Applications (en)
  • Perturbační princip s jednou funkcí a aplikace (cs)
skos:notation
  • RIV/67985840:_____/04:00106936!RIV/2005/GA0/A05005/N
http://linked.open.../vavai/riv/strany
  • 49;60
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/01/1198), P(IAA1019301), Z(AV0Z1019905)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 553097
http://linked.open...ai/riv/idVysledku
  • RIV/67985840:_____/04:00106936
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • variational principle;well-posed optimization problem;perturbed optimization problem (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [DBFC21DA97B6]
http://linked.open...i/riv/nazevZdroje
  • Set-Valued Analysis
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 12
http://linked.open...iv/tvurceVysledku
  • Cheng, L.
  • Fabián, Marián
  • Revalski, J. P.
  • Borwein, J.
http://linked.open...n/vavai/riv/zamer
issn
  • 0927-6947
number of pages
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