含参广义向量拟均衡问题强有效解映射下半连续性最优条件

Optimal Conditions for Lower Semicontionuity of Strong Efficient Solution Mapping to Parametric Generalized Vector Quasi-equilibrium Problems

为了在赋范向量空间中研究含参广义向量拟均衡问题弱有效解与强有效解映射的下半连续性,在近似锥-次类凸的条件下,运用标量化的方法得到弱有效解的标量化结果,并给出弱有效解与强有效解映射下半连续的最优条件。结果表明,2种有效解映射下半连续的最优条件具有统一性。

To study the lower semicontionuity of weak efficient solution and strong efficient solution mappings to parametric generalized vector quasi-equilibrium problems in normed vector sp a ce s,under the condition of nearly cone-subconvexlike,characterization of weak efficient solution was gained by using the scalar method.The optimal conditions for the lower semicontionuity of weak efficient solution and strong efficient solution mappings were given.The results show that the optimal conditions for lower semicontionuity of the two solution mappings is unified.