局部凸空间内的S-KKM定理及应用

S KKM Theorems in Locally Convex Linear Topological Spaces with Applications

最近Ｌｉｎ和Ｃｈａｎｇ引入了一类ＳＫＫＭ映像，证明了若干ＳＫＫＭ定理．本文在可度量化的局部凸拓扑向量空间内研究了这类ＳＫＫＭ映像，由削弱映像的紧闭性和去掉对子集的紧凸性假设，得出了某些新的ＳＫＫＭ定理并给出了对极小极大不等式的应用．

In this paper, some new S KKM theorems are first proved in (metrizable) locally convex linear topological spaces which weaken some conditions in previous works. As applications, some new minimax inequalities are established.