Existence results for generalized vector equilibrium problems with applications  

作　　者：杨明歌 黄南京 

机构地区：[1]Department of Mathematics, Luoyang Normal University [2]Department of Mathematics, Sichuan University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2014年第7期913-924,共12页应用数学和力学（英文版）

基　　金：Project supported by the Key Program of the National Natural Science Foundation of China(NSFC)(No.70831005);the National Natural Science Foundation of China(Nos.11171237,11226228,and 11201214);the Science and Technology Program Project of Henan Province of China(No.122300410256);the Natural Science Foundation of Henan Education Department of China(No.2011B110025)

摘　　要：By a coincidence theorem, some existence theorems of solutions are proved for four types of generalized vector equilibrium problems with moving cones. Applications to the generalized semi-infinite programs with the generalized vector equilibrium constraints under the mild conditions are also given. The results of this paper unify and improve the corresponding results in the previous literature.By a coincidence theorem, some existence theorems of solutions are proved for four types of generalized vector equilibrium problems with moving cones. Applications to the generalized semi-infinite programs with the generalized vector equilibrium constraints under the mild conditions are also given. The results of this paper unify and improve the corresponding results in the previous literature.

关 键 词：generalized vector equilibrium problem generalized semi-infinite program abstract convex space -map 

分 类 号：O183.1[理学—数学]