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.

引用

页码：547 / 555

页数：9

共 50 条

[21] Generalized Multiobjective Symmetric Duality under Second-Order(F, α, ρ, d)-Convexity
S.K.Gupta
D.Dangar
Acta Mathematicae Applicatae Sinica, 2015, 31 (02) : 529 - 542
[22] Second-order duality for nondifferentiable minimax fractional programming problems with generalized convexity
Meraj Ali Khan
Journal of Inequalities and Applications, 2013
[23] Second-order duality for nondifferentiable minimax fractional programming problems with generalized convexity
Khan, Meraj Ali
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[24] Generalized Multiobjective Symmetric Duality under Second-Order (F, α, ρ, d)-Convexity
Gupta, S. K.
Dangar, D.
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2015, 31 (02): : 529 - 542
[25] On Second-Order Variational Analysis of Variational Convexity of Prox-Regular Functions
Gfrerer, Helmut
SET-VALUED AND VARIATIONAL ANALYSIS, 2025, 33 (01)
[26] Second-Order Optimality Conditions in Locally Lipschitz Inequality-Constrained Multiobjective Optimization
Constantin, Elena
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2020, 186 (01) : 50 - 67
[27] Formation Tracking for Nonlinear Agents with Unknown Second-Order Locally Lipschitz Continuous Dynamics
Wang, Xiangke
Qin, Jiahu
Li, Xun
Zheng, Zhiqiang
PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 6112 - 6117
[28] Second-Order Optimality Conditions in Locally Lipschitz Inequality-Constrained Multiobjective Optimization
Elena Constantin
Journal of Optimization Theory and Applications, 2020, 186 : 50 - 67
[29] First- and second-order directional differentiability of locally Lipschitzian functions
Ward, D. E.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 337 (02) : 1182 - 1189
[30] Constructing vectorial bent functions via second-order derivatives
Zheng, Lijing
Kan, Haibin
Peng, Jie
Tang, Deng
DISCRETE MATHEMATICS, 2021, 344 (08)

← 1 2 3 4 5 →