【摘要】 研究了带约束向量均衡问题统一解的最优性条件.首先,利用改进集引进了带约束向量均衡问题E-弱有效解和E-有效解的概念;其次,在目标函数为广义凸的条件下,利用凸集分离定理和择一定理获得了向量均衡问题E-弱有效解和E-有效解的最优性条件;最后,给出了向量优化问题相应解的最优性条件.更多还原

【Abstract】 The optimality conditions for unified solution of the vector equilibrium problems with constraints were studied. Firstly,the concept of E-weakly efficient solution and E-efficient solution for the vector equilibrium problems with constraints via the improvement set were introduced. Secondly,under the condition of generalized convex function,the optimality conditions for E-weakly efficient solution and E-efficient solution of the vector equilibrium problems were given. Finally,the optimality conditions of vector optimization problems were obtained.更多还原