先引入了一类带不等式和等式约束的$E$-凸多目标优化问题$(\mathrm{M}\mathrm{P})$,给出了该类问题的一个最优性充分条件;其次,建立了该类规划问题$(\mathrm{M}\mathrm{P})$的一类Wolfe型对偶模型(WD),并在$E$-凸条件下,获得了弱对偶定理,强对偶定理和逆对偶定理.

This paper considers a class of E-convex multi-objective optimization problems (MP) with equality constraints and inequality constraints, and a sufficient optimality condition is given. Then, a class of Wolfe type dual model (WD) of the class of programming problem (MP) is established, and under the  assumption of the E-convex conditions, theorems of weak duality, strong duality and converse duality are obtained.