拓扑空间中的广义L-KKM定理和抽象广义矢量平衡问题

Generalized L-KKM Theorems and Generalized Abstract Vector Equilibrium Problems in Topological Spaces

引入了关于集值映射T的广义L-KKM映射,并运用古典KKM型定理在具有性质(L)的拓扑空间中得到一些新的广义L-KKM型定理.给出了广义L-KKM型定理在抽象广义矢量平衡问题中的应用.

In this paper,a new concept of generalized L-KKM mapping with regard to a set-valued mapping T is introduced.By using the classical KKM theorems,some new generalized L-KKM type theorems in topological spaces with property（L） are proved.Some existence theorems of equilibrium points for some abstract generalized vector equilibrium problems are obtained in topological spaces without any linear and convexity structure.