局部L-凸空间中的平衡问题

Equilibrium Theorems in Locally L-Convex Spaces

在没有线性结构的局部L-凸空间中研究了具有多值支付函数的约束Nash-型平衡问题和约束竞争Nash-型平衡问题.应用涉及集值映射类KKM(X,Y)的Himmelberg型不动点定理,在非紧的局部L-凸空间中证明了这两种类型平衡问题的存在定理.

Some constrained Nash-type equilibrium problems and constrain competitive Nash-type equilibrium problems with multivalued functions are established in locally L-convex spaces without linear structure. By using a Himmelberg type fixed-point theorem for mapping with KKM property, the existence results of these two types of equilibrium problems are obstained in noncompact locally L- Convex spaces.