中文摘要：

在L-凸空间中建立了新的极大元定理.作为应用,获得了L-凸空间中抽象经济和定性对策的平衡存在定理.

英文摘要：

In this paper,new existence theorems for maximal elements are established in L- convex spaces. As application,existence theorems of equilibrium for qualitative games and abstract economies are obtained in L- convex spaces.