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Existence results for generalized vector equilibrium problems with applications

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【Author】 Ming-ge YANG;Nan-jing HUANG;Department of Mathematics, Luoyang Normal University;Department of Mathematics, Sichuan University;

【机构】 Department of Mathematics, Luoyang Normal University； Department of Mathematics, Sichuan University；

【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.更多还原

【Abstract】 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.更多还原

【关键词】 generalized vector equilibrium problem； generalized semi-infinite program； abstract convex space； RC-map；
【Key words】 generalized vector equilibrium problem； generalized semi-infinite program； abstract convex space； RC-map；

【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)

【文献出处】 Applied Mathematics and Mechanics(English Edition) ,应用数学和力学(英文版) , 编辑部邮箱 ,2014年07期

【分类号】O183.1
【被引频次】3
【下载频次】46

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