Convexity and generalized second-order derivatives for locally Lipschitz functions

被引：5
|
作者：
Pastor, K [1 ]
机构：
[1] Palacky Univ, Dept Math Anal & Appl Math, Fac Sci, Olomouc 77146, Czech Republic
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 60卷 / 03期
关键词：
generalized second-order directional derivative convexity; second-order sufficient optimality condition; the Clarke gradient;
D O I：
10.1016/j.na.2004.08.040
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We define the generalized second-order directional derivatives by means of the Clarke generalized gradient for locally Lipschitz functions. Then we give characterization of convexity and state a new sufficient optimality condition. (C) 2004 Elsevier Ltd. All rights reserved.
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页码：547 / 555
页数：9
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