FWC-空间的T-KKM型定理及其应用  

T-KKM-Type Theorems in FWC-Spaces and Their Applications

作　　者：曾秀华[1,2] 邓磊[1] ZENG Xiu-hua DENG Lei(School of Mathematics and Statistics, Southwest University, Chongqing 400715, China Chongqing Yubei Middle School, Chongqing 401120, China)

机构地区：[1]西南大学数学与统计学院,重庆400715 [2]重庆市渝北中学,重庆401120

出　　处：《西南大学学报（自然科学版）》2017年第2期60-65,共6页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金项目(11226228)

摘　　要：在FWC-空间上引入一类广义的T-KKM映象,建立了一些非空紧闭值映象的T-KKM型定理.利用此结果,获得了FWC-空间中的Fan-Browder不动点定理、Ky Fan截口定理和广义向量均衡问题解的存在性定理.In this paper,we introduce a class of generalized T-KKM mapping in FWC-spaces and establish some T-KKM-type theorems of non-empty compact closed valued mappings.As application,Fan-Browder fixed point theorem,Ky Fan section theorem and existence theorem of solution for the generalized vector equilibrium problems are obtained in FWC-spaces.

关 键 词：FWC-空间 T-KKM型定理 Fan-Browder不动点定理 KY Fan截口定理 

分 类 号：O177.91[理学—数学]