L-凸空间的一个极大极小不等式及其应用

A Minimax Inequality in L-Convex Spaces and its Application

利用L-凸空间的一个极大极小不等式,建立Ky Fan型截口定理并将该理论应用到L-凸空间的极大极小不等式和极大元定理.基于应用,得到关于L-凸空间的抽象广义向量均衡问题的一些新的存在性定理.

In this paper,by using a minimax inequality in L-convex spaces,we establish Ky Fan s section theorem and discuss its applications to minimax inequality,maximal element theorem in L-convex spaces.As applications,some new existence theorems for abstract generalized vector equilibrium problem are obtained in L-convex spaces.