卡鲁什-库恩-塔克条件
对偶(序理论)
数学
对偶(语法数字)
数学优化
次导数
类型(生物学)
约束(计算机辅助设计)
应用数学
正多边形
凸优化
纯数学
艺术
生态学
几何学
文学类
生物
作者
Tatiana Shitkovskaya,Do Sang Kim
出处
期刊:Rairo-operations Research
[EDP Sciences]
日期:2018-10-01
卷期号:52 (4-5): 1397-1410
被引量:6
摘要
In this paper we apply some tools of nonsmooth analysis and scalarization method due to Chankong–Haimes to find ϵ -efficient solutions of semi-infinite multiobjective optimization problems (MP). We establish ϵ -optimality conditions of Karush–Kuhn–Tucker (KKT) type under Farkas–Minkowski (FM) constraint qualification by using ϵ -subdifferential concept. In addition we propose mixed type dual problem (including dual problems of Wolfe and Mond–Weir types as special cases) for ϵ -efficient solutions and investigate relationship between mentioned (MP) and its dual problem as well as establish several ϵ -duality theorems.
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