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

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.