向量拟平衡问题系统解集的强本质集及应用

Strong Essential Sets for the System of Vector Quasi-Equilibrium Problems with Application

研究了向量拟平衡问题系统解的存在性,然后引入解集的强本质性概念,得到了强本质集的存在性,作为应用引入多目标广义对策的解集中较本质性更稳定的强本质弱Pareto-Nash平衡点集并导出其存在性。

In this paper, the system of vector quasi-equilibrium is studied and its solution is proved. Conse- quently, the existence of strong essential sets for its solution sets are obtained by a notion about, strong essential sets. In application, the existence of strong essential weakly Pareto-Nash equilibrium is derived with a stronger stability notion than essential weak Pareto-Nash equilibrium.