利用锥连续性与不动点定理,研究具有控制结构的广义强向量拟均衡问题联立系统,得到解的存在定理与解集的闭性,并应用于Debreu型强向量均衡问题与广义强向量拟鞍点组的解。
The simultaneous systems of the generalized strongly vector quasi--equilibrium problems with domination structure were investigated by using the cone--continuity and fixed point theorem. The exist- ence of solutions and closeness of solution set were obtained. As applications, the existence theorems of the solutions for Debreu-type strongly vector quasi-equilibrium problems and the system of the generalized strongly vector quasi-saddle points were derived.