Nonempty intersection theorems in topological spaces with applications  

作　　者：方敏 黄南京 

机构地区：[1]Department of Economic Mathematics,South Western University of Finance and Economics [2]Department of Mathematics,Sichuan University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2009年第7期905-914,共10页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China (Nos.10671135 and 70831005);the Specialized Research Fund for the Doctoral Program of Higher Education(No.20060610005);the Key Project of Chinese Ministry of Education (No.109140)

摘　　要：In this paper, we establish some new nonempty intersection theorems for generalized L-KKM mappings and prove some new fixed point theorems for set-valued mappings under suitable conditions in topological spaces. As applications, an existence theorem for an equilibrium problem with lower and upper bounds and two existence theorems for a quasi-equilibrium problem with lower and upper bounds are obtained in topological spaces. Our results generalize some known results in the literature.In this paper, we establish some new nonempty intersection theorems for generalized L-KKM mappings and prove some new fixed point theorems for set-valued mappings under suitable conditions in topological spaces. As applications, an existence theorem for an equilibrium problem with lower and upper bounds and two existence theorems for a quasi-equilibrium problem with lower and upper bounds are obtained in topological spaces. Our results generalize some known results in the literature.

关 键 词：generalized L-KKM/napping L-diagonally quasi-subspace transfer compactly closed-valued fixed point quasi-equilibrium problem 

分 类 号：O189.11[理学—数学] O177.3[理学—基础数学]