局部FC-一致空间内凝聚映象的极大元和广义对策及应用(Ⅱ)  

Maximal Elements and Generalized Games Involving Condensing Mappings in Locally FC-Uniform Spaces and Applications(Ⅱ)

作　　者：丁协平[1] 

机构地区：[1]四川师范大学数学与软件科学学院,成都610066

出　　处：《应用数学和力学》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)

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.

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 

分 类 号：O225[理学—运筹学与控制论] O189.11[理学—数学]