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.
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页码：1372 / 1382
页数：11
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