拓扑空间中关于容许集值映象的重合点定理(英文)

Coincidence Theorems for Admissible Multifunctions in Topological Spaces

利用广义RKKM映象,在不具有任何凸性结构的拓扑空间中证明了一个关于容许集值映象的重合点定理.作为应用,证明了一个抽象变分不等式,一个KKM型定理和不动点定理.

In this paper, the authors obtain a coincidence theorem for admissible muhifunctions under the nonconvexity setting of topological spaces, by using generalized R-KKM mappings. The obtained new theorem is applied to obtain an abstract variational inequality, a KKM type theorem and a fixed point theorem, The results extend and improve the corresponding results in recent literature.