GENERALIZED H-KKM TYPE THEOREMS IN H-METRIC SPACES WITH APPLICATIONS  

作　　者：DING Xie-ping(丁协平) XIA Fu-quan(夏福全) 

机构地区：[1]Department of Mathematics, Sichuan Normal University, Chengdu 610066, P R China Department of Mathematics, Sichuan Normal University, Chengdu 610066, P R China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2001年第10期1140-1148,共9页应用数学和力学（英文版）

基　　金：国家自然科学基金

摘　　要：The new notions of H-metric spaces and generalized H-KKM mappings were introduced. Some generalized H-KKM type theorems for generalized H-K-KM mappings with finitely metrically compactly closed values and finitely metrically compactly open values were established in H-metric spaces. These theorems generalize recent results of Khamsi and Yuan. As applications, some Ky Fan type matching theorems for finitely metrically compactly open covers and finitely metrically compactly closed covers, fixed point theorems and minimax inequality are obtained in H-metric spaces. These results generalize a number of known results in recent literature.The new notions of H-metric spaces and generalized H-KKM mappings were introduced. Some generalized H-KKM type theorems for generalized H-K-KM mappings with finitely metrically compactly closed values and finitely metrically compactly open values were established in H-metric spaces. These theorems generalize recent results of Khamsi and Yuan. As applications, some Ky Fan type matching theorems for finitely metrically compactly open covers and finitely metrically compactly closed covers, fixed point theorems and minimax inequality are obtained in H-metric spaces. These results generalize a number of known results in recent literature.

关 键 词：hyperconvex space H-metric space finitely metrically compactly closed (open) set generalized H-KKM mapping admissible set 

分 类 号：O177.92[理学—数学]