讨论了具变动控制结构的对称广义强向量拟均衡问题. 在锥值映射具无限上连续性条件下, 利用Fan-KKM定理和Kakutani-Fan-Glicksberg不动点定理, 建立了解的存在性结果, 进一步, 还得出了其解集的紧性结论. 作为应用, 文中还给出了广义强向量拟鞍点问题解的存在性及其解集的紧性结果. 这些结果推广和发展了近期已有文献的相关结论.

In this paper, a symmetric generalized strong vector quasi-equilibrium problem with variable ordering structures is introduced and discussed. Under the condition of cosmically upper continuity for the cone-valued mapping, some existence theorems are obtained by using the Fan-KKM theorem and the Kakutani-Fan-Glicksberg fixed point theorem. Moreover, the conclusions of compactness of the solution set for this problem are also derived. As an application, some theorems of existence of solutions and compactness of solution set are obtained for generalized strong vector quasi-saddle point problem. These results extend and develop some corresponding ones existing in the recent literatures.