On second-order conditions in unconstrained optimization

被引：34
|
作者：
Bednarik, Dusan [1 ]
Pastor, Karel [2 ]
机构：
[1] Univ Hradec Kralove, Dept Math, Hradec Kralove, Czech Republic
[2] Palacky Univ, Fac Sci, Dept Math Anal, Olomouc 77146, Czech Republic
来源：
MATHEMATICAL PROGRAMMING | 2008年 / 113卷 / 02期
关键词：
locally Lipschitz function; regular function; C-1; function; Peano derivative; stable function; isolated minimizer of order k; Dini derivative;
D O I：
10.1007/s10107-007-0094-8
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
The main purpose of this paper is to establish the second-order nonsmooth sufficient unconstrained optimality condition for so called delta-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.
引用
收藏
页码：283 / 298
页数：16
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