半序偏b-度量空间中压缩映像的不动点定理  

Fixed Point Theorems for a Contractive Mappings in Ordered Partial b-Metric Spaces

作　　者：彭荣[1] PENG Rong(School of Data Science and Computer,Guangdong Peizheng University,Guangzhou 510830,China)

机构地区：[1]广东培正学院数据科学与计算机学院,广州510830

出　　处：《太原师范学院学报（自然科学版）》2022年第1期18-21,61,共5页Journal of Taiyuan Normal University:Natural Science Edition

基　　金：广东培正学院校级科研项目(pzxjyb52);广东省基础研究重大项目(2017KZDXM038)。

摘　　要：研究了半序偏b-度量空间中压缩型映像的不动点问题.利用偏序关系构造了单调收敛的有界序列,在f^(-)-轨道完备的条件下证明了广义压缩映像不动点的存在唯一性定理,减弱了对空间完备和紧性的要求,推广了相关文献结果,并给出例子.The problem of fixed points of contractive mapping in ordered partially b-metric spaces was studied.The partial order relationship is used to construct a monotonically convergent bounded sequence,and under the condition of orbital complete,the existence and uniqueness theorem of the fixed point of generalized contractive mapping is proved,which weakens the requirements for spatial completeness and compactness,and extends some results in related literature,and an example is given.

关 键 词：偏b-度量空间 半序集 f^(-)-轨道完备 不动点 

分 类 号：O177.9[理学—数学]