Coincidence Theorem for Admissible Set-valued Mappings and Its Applications in FC-spaces  

作　　者：Ming-ge Yang Lei Deng 

机构地区：[1]Department of Mathematics, Luoyang Normal University, Luoyang, Henan 471022, China [2]Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China [3]School of Mathematics and Statistics, Southwest University, Chongqing 400715, China

出　　处：《Acta Mathematicae Applicatae Sinica》2010年第3期455-462,共8页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China (No. 10771173);the Natural Science Foundation of Henan Education Department (No. 2008B110012);the Science and Technology Program Project of Henan Province (No. 092300410187);the Youth Foundation of Luoyang Normal University

摘　　要：A new coincidence theorem for admissible set-valued mappings is proved in FC-spaces with a more general convexity structure. As applications, an abstract variational inequality, a KKM type theorem and a fixed point theorem are obtained. Our results generalize and improve the corresponding results in the literature.

关 键 词：FC-SPACE coincidence theorem admissible set-valued mapping 

分 类 号：O224[理学—运筹学与控制论] O177.91[理学—数学]