SW-空间中的KKM定理和不动点定理

KKM Theorem and Fixed Point Theorem on SW-space

在W 空间概念的基础上引入了不具线性结构的SW 空间概念。证明了Hausdorff拓扑向量空间,凸空间,可缩空间是SW 空间的特殊情况,还在SW 空间中建立了KKM定理和不动点定理,改进了Hausdorff拓扑向量空间中一些依赖于线性结构的结果。

The SWSpace is introduced, which do not have any linear structure. Hausdorff topological vector space, convex space, contractible space are special cases of SWSpace. The KKM theorem and fixed point theorem on SWSpace are obtained. The results which depend on linear structure, are improved.