广义区间空间中参数型非紧KKM定理及其在经济平衡问题上的应用

Some Parametric Non-compact KKM Theorems with Applications to Economic Equilibrium Problem on Generalized Interval Spaces

在不具线性结构的拓扑空间———广义区间空间———中证明了集值映像参数型非紧的 KKM定理,用本文结果研究了极大极小问题和拓扑型广义经济Shafer Sonneischein平衡存在问题.

We establish some parametric non-compact KKm theorems for set-valued mappings in Generalized interval spaces, general topological spaces without linear structure. As applications, we utilize the results to study the minimax problem and generalized economic Shafer-Sonneinschein equilibrium problem for Abstract economy.