FC-空间中广义KKM定理及对广义向量平衡问题的应用  

Generalized Kkm Theorems with Their Applications to Generalized Vector Equilibria Problems in FC-Spaces

作　　者：唐古生[1] 

机构地区：[1]湖南科技大学数学系,湘潭411201

出　　处：《应用数学学报》2008年第3期553-563,共11页Acta Mathematicae Applicatae Sinica

摘　　要：在非紧FC-空间中证明了一些新的广义KKM型定理.作为应用,在非紧FC-空间中我们确立了一些新的对于广义向量平衡问题解的存在性定理.这些结果推广了文献中已有的结论.Some new generalized KKM type theorems are proved in noncompact FC-spaces. As applications, we establish some new existence theorems of solutions for generalized vector equilibrium problems in noncompact setting of FC-spaces. These results generalize some known results in the literature.

关 键 词：FC-空间 KKM型定理 广义向量平衡 伪单调性 

分 类 号：O177.91[理学—数学] O177.3[理学—基础数学]