Optimality and duality for nonsmooth multiobjective optimization problems

被引：3
作者：
Bae, Kwan Deok [1 ]
Kim, Do Sang [1 ]
机构：
[1] Pukyong Natl Univ, Dept Appl Math, Pusan 608737, South Korea
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年
基金：
新加坡国家研究基金会;
关键词：
nonsmooth multiobjective programming; strict minimizers; optimality conditions; duality; 2ND-ORDER SUFFICIENT CONDITIONS; VECTOR OPTIMIZATION; STRICT MINIMALITY; LOCAL MINIMA;
D O I：
10.1186/1029-242X-2013-554
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a nonsmooth multiobjective programming problems including support functions with inequality and equality constraints. Necessary and sufficient optimality conditions are obtained by using higher-order strong convexity for Lipschitz functions. Mond-Weir type dual problem and duality theorems for a strict minimizer of order m are given.
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页数：11
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