On second-order optimality conditions in constrained multiobjective optimization

被引：15
|
作者：
Bednarik, Dusan [1 ,2 ]
Pastor, Karel [3 ]
机构：
[1] Univ Pardubice, Inst Appl Phys & Math, Pardubice 53210, Czech Republic
[2] Univ Hradec Kralove, Dept Math, Hradec Kralove 50003, Czech Republic
[3] Palacky Univ, Dept Math Anal & Applicat Math, Fac Sci, Olomouc 77200, Czech Republic
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 04期
关键词：
l-stable function; Generalized second-order directional derivative; Dini derivative; Weakly efficient minimizer; Firm efficient minimizer; NONSMOOTH VECTOR OPTIMIZATION; DIRECTIONAL-DERIVATIVES; STABLE FUNCTIONS; 1ST-ORDER; DIFFERENTIABILITY; APPROXIMATIONS;
D O I：
10.1016/j.na.2010.10.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study a multiobjective optimization problem with inequality constraints on finite dimensional spaces. A second-order necessary condition for local weak efficiency is proved under strict differentiability assumptions. We also establish a second-order sufficient condition for local firm efficiency of order 2 under l-stability assumptions. In this way we generalize some corresponding results obtained by P. Q. Khanh and N.D. Tuan, and by the authors. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1372 / 1382
页数：11
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