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  • The paper deals with the minimization of an integral functional over an Lp space subject to various types of constraints. For such optimization problems, new necessary optimality conditions are derived, based on several concepts of nonsmooth analysis. In particular, we employ the generalized differential calculus of Mordukhovich and the fuzzy calculus of proximal subgradients. The results are specialized to nonsmooth two-stage and multistage stochastic programs.
  • The paper deals with the minimization of an integral functional over an Lp space subject to various types of constraints. For such optimization problems, new necessary optimality conditions are derived, based on several concepts of nonsmooth analysis. In particular, we employ the generalized differential calculus of Mordukhovich and the fuzzy calculus of proximal subgradients. The results are specialized to nonsmooth two-stage and multistage stochastic programs. (en)
  • Článek se týká minimalizace integrálního funkcionálu nad prostorem Lp za přítomnosti různých typů omezení. Pro tyto úlohy jsou odvozeny nové nutné podmínky optimality, založené na několika koncepcích nehladké analýzy. Jde mimo jiné o zobecněný diferenciální počet B.Morduchoviče a fuzzy kalkulus proximálnich subgradientů. Výsledky jsou aplikovány na dvojstupňové a vicestupňové úlohy stochastického programování. (cs)
Title
  • On optimality conditions for some nonsmooth optimization problems over Lp spaces
  • On optimality conditions for some nonsmooth optimization problems over Lp spaces (en)
  • Podmínky optimality pro některé nehladké programy v Lp prostorech (cs)
skos:prefLabel
  • On optimality conditions for some nonsmooth optimization problems over Lp spaces
  • On optimality conditions for some nonsmooth optimization problems over Lp spaces (en)
  • Podmínky optimality pro některé nehladké programy v Lp prostorech (cs)
skos:notation
  • RIV/67985556:_____/05:00411393!RIV06-AV0-67985556
http://linked.open.../vavai/riv/strany
  • 411;438
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(IAA1075005), Z(AV0Z10750506)
http://linked.open...iv/cisloPeriodika
  • 2
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...dnocenehoVysledku
  • 534381
http://linked.open...ai/riv/idVysledku
  • RIV/67985556:_____/05:00411393
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • normal integrand; integral functional; normal cone (en)
http://linked.open.../riv/klicoveSlovo
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  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [A542EC53F8DE]
http://linked.open...i/riv/nazevZdroje
  • Journal of Optimization Theory and Applications
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 126
http://linked.open...iv/tvurceVysledku
  • Outrata, Jiří
  • Römisch, W.
http://linked.open...n/vavai/riv/zamer
issn
  • 0022-3239
number of pages
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