抽象凸空间中集值映射的不动点定理及其应用

A new fixed point theorem and the selection property for upper semi-continuous set-valued mappings in abstract convexity space are established. As their applications the existence of Nash equilibrium for n-person non-cooperative generalized games is proved.     

二阶($F, \alpha,\rho, d,p$) 一致凸性与极小极大分式规划的对偶

In this paper,we introduce a class of generalized second order(F,α,ρ,d,p)-univex functions.Two types of second order dual models are considered for a minimax fractional programming problem and the duality results are established by using the assumptions on the functions involved.