考虑了一类锥约束多目标优化问题,对其建立了4种对偶模型。在广义不变凸性假设下,给出了4种对偶模型的弱对偶定理。在一定的约束品性下,给出了强对偶定理。再利用Fritz-John型必要性条件讨论了这4种对偶模型的逆对偶定理。所给出的弱对偶定理和逆对偶定理推广了已有文献相应的结果。
We establish four dual models for multiobjective programming problem with cone constraints and discuss weak duality the- orems, strong duality theorems and converse duality theorems by using Fritz-John type necessary condition under generalized con- vexity assumptions. Our results extend several existing results of the existing literature.