局部紧集上的广义向量均衡问题

Generalized Vector Equilibrium Problems on Locally Compact Subsets

利用数值化方法和Browder不动点定理,得到一类新的广义向量均衡问题解的存在定理,并用于向量变分不等式、向量相补问题和抽象向量优化问题,得到其解的存在定理。

By using the scalarization method and the well - known Browder fixed point theorem, the paper obtains the existence theorem of solution for a new type of generalized vector equilibrium problem. As its applications,existence theorems for vector variational inequlity,vector complementarity problem and abstract vector optimization problem are derived.