W-空间上的广义向量拟平衡问题(英文)

Generalized Vectorial Quasi-Equilibrium Problem on W-Space

英文关键词:generalized vectorial quasi-equilibrium  W-Space  set-valued map.

中文摘要:

      引入了广义向量拟平衡问题和广义集值拟平衡问题,得到了W-空间上广义向量拟平衡问题的存在性定理,作为推论,得到了W-空间上四类拟平衡问题的存在性定理,这些结果推广和改进了文献[1-7]的相应结果。

英文摘要:

      Generalized vectorial quasi-equilibrium problem and generalized set-valued quasi-equilibrium problem are introduced and the existence theorems of generalized vectorial quasi-equilihrium problem on W-space are obtained. As corollaries, existence theorems of four kinds of quasi-equilibrium problem are obtained, and these results generalize and improve correspond results in [1-7] .