对称向量拟均衡问题有效解的存在性

An existence theorem for efficient solutions of symmetric vector quasi-equilibrium problems

利用标量化方法建立对称向量拟均衡问题有效解的存在性定理。作为标量化方法的应用,利用这一方法得到向量变分不等式和拟向量变分不等式有效解的存在性定理。

In this paper,an existence theorem for efficient solutions of symmetric vector quasi-equilibrium problems is established by using a scalarization method.As applications of the scalarization method,we use the scalarization method to obtain existence theorems for efficient solutions of vector variational inequality and vector quasi-variational inequality.