摘要
在局部FC-一致空间内,引入和研究了某些新的涉及凝聚集值映象的广义矢量拟平衡问题组.应用作者在文(Ⅰ)中对局部FC-一致空间内的凝聚集值映象得到的极大元存在性定理,在局部FC-一致空间内,对这些广义矢量拟平衡问题组的解,证明了某些新的存在性定理.这些结果改进和推广了文献中某些已知结果到局部FC-一致空间.
First, the notions of the measure of noncompactness and condensing set-valued mappings were introduced in locally FC-uniform spaces without convexity structure. A new existence theorem of maximal elements of a family of set-valued mappings involving condensing mappings was proved in locally FC-uniform spaces. As applications, some new equilibrium existence theorems of generalized game involving condensing mappings were established in locally FC-uniform spaces. These results improve and generalize some known results in literature to locally FC-uniform spaces. Some further applications of the results to the systems of generalized vector quasi-equilibrium problems will be given in a follow-up paper.
出处
《应用数学和力学》
CSCD
北大核心
2007年第12期1392-1399,共8页
Applied Mathematics and Mechanics
基金
四川省教育厅重点科研基金资助项目(2003A081SZD0406)
关键词
凝聚集值映象
极大元
广义对策
平衡
局部FC-一致空间
condensing set-valued mapping
maximal element
generalized game
equilibrium
locally FC-uniform spaces
