关于集值优化问题的若干结果(英文)  

Some Results on Set-Valued Optimization

作　　者：彭建文[1] 

机构地区：[1]重庆师范学院数学系,重庆400047

出　　处：《运筹学学报》2002年第1期67-70,共4页Operations Research Transactions

基　　金：This research is supported by National Natural Science Foundation of China.

摘　　要：引入了集值C-τ-半预不变凸概念,证明了集值C-τ-半预不变凸优化问题的局部弱有效元是弱有效元,给出了集值预不变凸变分不等式作为集值C-τ-预不变凸优化问题的充分条件和必要条件。The definition of C-τ-semi-preinvex for set-valued function is introduced. It is proved that a local weak minimizer is also a weak minimizer for a semi-preinvex set-valued optimization problem. A set-valued variational inequality is given as necessary condition as well as sufficient condition of weak minimizer for a preinvex set-valued optimization problem. These generalize the corresponding results in [1-4].

关 键 词：集值优化问题 局部弱有效元 弱有效元 集值C-τ-半预不变凸 充分条件 必要条件 

分 类 号：O224[理学—运筹学与控制论]