Optimality Conditions and Duality for Nonsmooth Multiobjective Programms with Generalized Essential Convexity

作     者：王彩玲 刘庆怀 李忠范 WANG Cai-ling;LIU Qing-huai;LI Zhong-fan

作者机构：School of Mathematics Jilin University Changchun 130012 Institute of Applied Mathematics Changchun University of Technology Changchun 130014 

出 版 物：《Northeastern Mathematical Journal》 (东北数学（英文版）)

年 卷 期：2008年第24卷第5期

页      面：377-385页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070105[理学-运筹学与控制论] 0701[理学-数学] 

基　　金：The NSF(100771020)of China 

主　　题：multiobjective programming optimality condition saddle point duality 

摘      要：In this paper, we introduce generalized essentially pseudoconvex function and generalized essentially quasiconvex function, and give sufficient optimality conditions of the nonsmooth generalized convex multi-objective programming and its saddle point theorem about cone efficient solution. We set up Mond-Weir type duality and Craven type duality for nonsmooth multiobjective programming with generalized essentially convex functions, and prove them.