H-度量空间中的广义KKM定理及其应用  

Generalized H-KKM Type Theorems in H-Metric Spaces With Applications

作　　者：丁协平[1] 夏福全[1] 

机构地区：[1]四川师范大学数学系,成都610066

出　　处：《应用数学和力学》2001年第10期1029-1036,共8页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目 (198710 5 9)

摘　　要：定义了一个新的空间——— H_度量空间并在H_度量空间中 ,得到了具有有限度量紧闭 (开 )值的广义H_KKM映象的广义H_KKM定理·　这些定理推广了 Khamsi和Yuan最近一系列结果·　作为应用 ,还得到有限度量紧闭 (开 )覆盖的KyFan型匹配定理 ,不动点定理和极小极大不等式·　这些结果统一和推广了近期的许多结果·The new notions of H_metric spaces and generalized H_KKM mappings were introduced. Some generalized H_KKM type theorems for generalized H_KKM 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：超凸空间 H-度量空间 广义H-KKM映像 容许集 有限度量紧闭集 有限度量紧开集 不动点定理 

分 类 号：O177.91[理学—数学]