Hausdorff空间中一类广义拟平衡问题解的存在性

Existence of Solutions of A Generalized Quasi-equilibrium Problems in Real Hausdorff Linear Topological Space

文章引入了实Hausdorff线性拓扑空间中一类新的广义拟平衡问题,利用KKM定理,得到了这一类广义拟平衡问题几个解的存在定理。本文的工作改进和推广了近期的一些已知结果.

In this paper, a new type of generalized quasi-equilibrium problems with set-valued mapping is introduced in real Hausdorff space. By using the KKM theorem, some existent theorems of the solutions of a generalized quasi-equilibrium problems are obtained. These results improve and generalize some recent known results.