Duality Theorems on Multi-objective Programming of Generalized Functions

作     者：Li-ping Pang Wei Wang Zun-quan Xia 

作者机构：Centre for Optimization Hesearch and Applications Department of Applied Mathematics Dalian University of Technology Dalian 116024 China Department of Physics Dalian University of Technology China Mathcmat ics school Liaoning Normal University Dalian 116029 China Centre for Optimization Research and Applications Department of Applied Mathematics Dalian University of Techaology Dalian 116024 China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2006年第22卷第1期

页      面：49-58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：Supported by the State Foundation of Ph.D.Units(No.20020141013) the National Natural Science Foundation of China(No.10471015) the Tianyuan Foundation of Natural Science Foundation of China(No.10426008) 

主　　题：Nonlinear optimization multiobjective optimization duality theory schwartz distribution 

摘      要：The form of a dual problem of Mond-Weir type for multi-objective programming problems of generalized functions is defined and theorems of the weak duality, direct duality and inverse duality are proven.