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].
出处
《运筹学学报》
CSCD
北大核心
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.
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
set-valued optimization, local weak minimizer, weak minimizer, C-r-semi-preinvex , C-r-preinvex , necessary condition, sufficient condition, generalized con-tingent epiderivative.
