抽象凸空间具有广义向量均衡约束的广义半无穷规划解的存在性

On Existence of Solutions for Generalized Semi-Infinite Programs with Generalized Vector Equilibrium Constraints in Abstract Convex Spaces

利用叠合点定理,在抽象凸空间中证明4种类型的具有广义向量均衡约束的广义半无穷规划解的存在性定理,并给出一个具体的例子来说明上述定理的条件是可以满足的.

With the coincidence theorem ,we have proved some existence theorems of solutions for four types of generalized semi-infinite programs with generalized vector equilibrium constraints in abstract con-vex spaces .We have also given an example to illustrate our results .