广义向量平衡问题解的存在性

On the existence problems of solutions for generalized vector equilibrium

利用KKM型引理,研究了在一般拓扑向量空间中的广义向量平衡问题解的存在性问题。作为应用,讨论了在伪单调条件下集值映射的向量平衡问题解的存在性及其等价性刻划。结果改进和推广了已有结果。

Based on KKM technique, the existence of solution to a generalized vector equilibrium problem is studied. As for application, solutions are derived for vector equilibrium problems with set valued mappings that have pseudomonotonous properties. These results extend and improve some recent results.