Abstract: In this paper, some new types of monempty intersection theorems are proved in H-spaces.Also applications, some vector-valued minimax theorems and fixed point theorems are obtained, and the equilibrium problems for abstract economies are studied.The results presented in this paper contain the corresponding results in [1-3] as their special cases.

Key words: H-space, H-convex set, H-compact set, the nonempty intersection property, economyequilibrium problem

摘要： 证明了H-空间中几个新型非空交定理,作为应用,我们得到了H-空间中几个向量值极大极小定理和不动点定理,并研究了抽象经济平衡问题,结果包含文[1~3]中相应结果为特例

关键词: H－空间, H－凸集, H－紧集, 非空交性质, 经济平衡问题