Weakly R-KKM mappings intersection theorems and minimax inequalities in topologi

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Weakly R-KKM mappings intersection theorems and minimax inequalities in topological spaces

In this paper, we introduce the concepts of weakly R-KKM mappings, R-convex and R-β-quasiconvex in general topological spaces without any convex structure.Relating to these, we obtain an extension to general topological spaces of Fan's matching theorem, namely that Lemma 1.2 in this paper. On this basis, two intersection theorems are proved in topological spaces. By using intersection theorems, some minimax inequalities of Ky Fan type are also proved in topological spaces. Our results generalize and improve the corresponding results in the literature.水利论文*D8B7f:qw

作 者: DENG Lei YANG Ming-ge  
作者单位:DENG Lei(School of Mathematics and Statistics, Southwest University, Chongqing 400715, P. R. China)
Q'\Fk6_$gR6ah.S0YANG Ming-ge(School of Mathematics and Statistics, Southwest University, Chongqing 400715, P. R. China;College of Mathematics Science, Luoyang Normal University,Luoyang 471022, Henan Province, P. R. China) 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS 
年,卷(期):2007 28(1) 
分类号:O1 
关键词:weakly R-KKM mapping   R-convex   R-β-quasiconvex   generalized R-KKM mapping  
机标关键词:topological spacesminimax inequalitiesKy Fan 
基金项目:国家自然科学基金,重庆市自然科学基金 
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