集值映射的广义对称向量拟平衡问题(英文)

Generalized Symmetric Vector Quasi-Equilibrium Problems for Set-Valued Mappings

本文提出了一类集值映射的广义对称向量拟平衡问题．利用非线性标量化函数,分别在局部凸Hausdorff拓扑向量空间和一般的Hausdorff拓扑向量空间中,证明了广义对称向量拟平衡问题解的存在性定理．

In this paper, a generalized symmetric vector quasi-equilibrium problem is introduced, which is a generalization of a symmetric vector quasi-equilibrium problem of vectorvalued mappings. In virtue of a nonlinear scalarization function, some existence results of solutions for generalized symmetric vector quasi-equilibrium problem are established in locally convex Hausdorff topological vector space and Hausdorff topological vector space, respectively.