相容映象的不动点定理  

Fixed Point Theorems for Compatible Mappings

作　　者：肖登云 胡新启[2] 

机构地区：[1]湖北省仙桃市第二中学,湖北仙桃433000 [2]武汉大学数学与统计学院,湖北武汉430070

出　　处：《湖北民族学院学报（自然科学版）》2003年第1期9-12,共4页Journal of Hubei Minzu University(Natural Science Edition)

摘　　要：讨论了完备度量空间中相容映象对在单值和多值情形下 ,满足一定条件时的不动点定理 ,并给出了一些有用的推论 。This paper discusses the fixed point theorems for compatible mappings in single-valued and multi-valued cases under certain conditions in complete metric spaes and gives some useful corollaries.The results are the generalization of the corresponding theorems for commuting mapping and weak commuting mappings.The paper also gives some examples for the mapping to illuminate the theorems.

关 键 词：完备度量空间 相容映象 不动点定理 弱交换映象 集值 单值映象 多值映象 

分 类 号：O177.91[理学—数学]