. "RIV/67985556:_____/05:00411393!RIV06-AV0-67985556" . "2" . "RIV/67985556:_____/05:00411393" . "2"^^ . "Podm\u00EDnky optimality pro n\u011Bkter\u00E9 nehladk\u00E9 programy v Lp prostorech"@cs . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . . "On optimality conditions for some nonsmooth optimization problems over Lp spaces"@en . "R\u00F6misch, W." . . "534381" . . "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." . "normal integrand; integral functional; normal cone"@en . . "On optimality conditions for some nonsmooth optimization problems over Lp spaces"@en . . "[A542EC53F8DE]" . . . "Journal of Optimization Theory and Applications" . . . . "P(IAA1075005), Z(AV0Z10750506)" . . . "Outrata, Ji\u0159\u00ED" . . "28"^^ . "0022-3239" . "Podm\u00EDnky optimality pro n\u011Bkter\u00E9 nehladk\u00E9 programy v Lp prostorech"@cs . . "On optimality conditions for some nonsmooth optimization problems over Lp spaces" . . "411;438" . "126" . "1"^^ . "On optimality conditions for some nonsmooth optimization problems over Lp spaces" . . "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 . "\u010Cl\u00E1nek se t\u00FDk\u00E1 minimalizace integr\u00E1ln\u00EDho funkcion\u00E1lu nad prostorem Lp za p\u0159\u00EDtomnosti r\u016Fzn\u00FDch typ\u016F omezen\u00ED. Pro tyto \u00FAlohy jsou odvozeny nov\u00E9 nutn\u00E9 podm\u00EDnky optimality, zalo\u017Een\u00E9 na n\u011Bkolika koncepc\u00EDch nehladk\u00E9 anal\u00FDzy. Jde mimo jin\u00E9 o zobecn\u011Bn\u00FD diferenci\u00E1ln\u00ED po\u010Det B.Morduchovi\u010De a fuzzy kalkulus proxim\u00E1lnich subgradient\u016F. V\u00FDsledky jsou aplikov\u00E1ny na dvojstup\u0148ov\u00E9 a vicestup\u0148ov\u00E9 \u00FAlohy stochastick\u00E9ho programov\u00E1n\u00ED."@cs .