Fenchel-Lagrange Duality and Saddle-Points for Constrained Vector Optimization  

作　　者：Pei ZHAO Sheng Jie LI 

机构地区：[1]College of Mathematics and Statistics, Chongqing University, Chongqing 401331, P. R. China

出　　处：《Journal of Mathematical Research and Exposition》2011年第1期157-164,共8页数学研究与评论（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant No.10871216);Innovative Talent Training Project,the Third Stage of "211 Project"Chongqing University (Grant No.S-0911)

摘　　要：The aim of this paper is to apply a perturbation approach to deal with Fenchel- Lagrange duality based on weak efficiency to a constrained vector optimization problem. Under the stability criterion, some relationships between the solutions of primal problem and the Fenchel-Lagrange duality are discussed. Moreover, under the same condition, two saddle-points theorems are proved.The aim of this paper is to apply a perturbation approach to deal with Fenchel- Lagrange duality based on weak efficiency to a constrained vector optimization problem. Under the stability criterion, some relationships between the solutions of primal problem and the Fenchel-Lagrange duality are discussed. Moreover, under the same condition, two saddle-points theorems are proved.

关 键 词：Vector optimization Fenchel-Lagrange duality SADDLE-POINTS weak efficiency. 

分 类 号：O224[理学—运筹学与控制论] O177[理学—数学]