锥度量空间中反交换映射的公共不动点  

Common Fixed Points for Converse Commuting Selfmappings on a Cone Metric Space

作　　者：李胃胜[1] 孙建红[2] 王东明[3] 

机构地区：[1]琼州学院数学系,海南三亚572022 [2]忻州师范学院五寨分院,山西036200 [3]皖西学院数理系,安徽六安237012

出　　处：《昆明理工大学学报（理工版）》2010年第6期122-124,共3页Journal of Kunming University of Science and Technology(Natural Science Edition)

摘　　要：首先引入锥度量空间与反交换映射的概念,证明了锥度量空间中反交换映射在某种压缩条件下的公共不动点的存在和唯一性定理.在完备性条件下,进一步证明了满足一定条件的反交换映射的公共不动点的存在性与唯一性定理.并推广了文献中的相关结论.First,the concept of cone metric space and converse commuting self-mappings is presented.An existence and uniqueness theorem of a common fixed point for commuting self-mappings satisfying certain contractive conditions on cone metric space is proved.Under complete condition,some existence and uniqueness theorems of a common fixed point for commuting self-mappings satisfying certain conditions on cone metric space is proved.These results generalize several comparable results in the literature.

关 键 词：锥度量空间 反交换映射 公共不动点 

分 类 号：O17[理学—数学]