SOLVABILITY OF VECTOR KY FAN INEQUALITIES WITH APPLICATIONS  

作　　者：YU Jian PENG Dingtao 

机构地区：[1]College of Science,Guizhou University [2]School of Science,Beijing Jiaotong University

出　　处：《Journal of Systems Science & Complexity》2013年第6期978-990,共13页系统科学与复杂性学报（英文版）

基　　金：supported by the Science and Technology Foundation of Guizhou Province under Grant No.20102133

摘　　要：This paper aims to study the solvability of vector Ky Fan inequalities and the compactness of its solution sets.For vector-valued functions with the cone semicontinuity and the cone quasiconvexity in infinite dimensional spaces,the authors prove some existence results of the solutions and the compactness of the solution sets.Especially,some results for the vector Ky Fan inequalities on noncompact sets are built and the compactness of its solution sets are also discussed.As applications,some existence theorems of the solutions of vector variational inequalities are obtained.

关 键 词：Compactness noncompact set SOLVABILITY vector Ky Fan inequalities vector variationalinequality. 

分 类 号：O178[理学—数学] O177[理学—基础数学]