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On second-order conditions in unconstrained optimization
Authors:Dušan Bednařík  Karel Pastor
Affiliation:(1) Department of Mathematics, University of Hradec Králové, Rokitanského 62, 500 03 Hradec Králové, Czech Republic;(2) Department of Mathematical Analysis, Faculty of Science, Palacky University, Tř. Svobody 26, 771 46 Olomouc, Czech Republic
Abstract:The main purpose of this paper is to establish the second-order nonsmooth sufficient unconstrained optimality condition for so called ℓ-stable at some point functions and in this way to generalize some previous results in this direction. We provide the comparisons with other results by examples. Supported by the Council of Czech Government (MSM 6198959214).
Keywords:Locally Lipschitz function  Regular function   C 1,1 function  Peano derivative  Stable function  Isolated minimizer of order k   Dini derivative
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