非可微多目标优化问题的高阶逆对偶定理

摘要

在锥约束非可微多目标优化问题 Mond-Weir 型高阶弱对偶定理的基础上，利用Fritz-John 型必要条件，在没有任何约束品性条件下给出了逆对偶定理。最后，考虑了特殊情况，研究了单目标情况下对偶问题的逆对偶定理。%In this paper, based on the weak duality theorems of Mond-Weir type higher-order dual for nondiffer-entiable multiob jective problems with cone constraints, we derive converse duality theorems by using Fritz-John type necessary condition without any constraint qualifications. Finally, we consider the special case of the result, and establish converse duality theorem for single ob jective programming problem with con constraint.