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

作     者：Ming-ge Yang Lei Deng 

作者机构：Department of Mathematics Luoyang Normal University Luoyang Henan 471022 China Department of Mathematics Sichuan University Chengdu Sichuan 610064 China School of Mathematics and Statistics Southwest University Chongqing 400715 China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2010年第26卷第3期

页      面：455-462页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070104[理学-应用数学] 070105[理学-运筹学与控制论] 0701[理学-数学] 

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 

主　　题：FC-space coincidence theorem admissible set-valued mapping 

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.