锥S-度量空间中扩张映射的不动点定理  

Fixed Point Theorems of Expansion Mapping in Cone S-metric Space

作　　者：彭荣[1] 柴富杰 PENG Rong;CHAI Fu-jie(School of Data Science and Computer,Guangdong Peizheng University,Guangzhou 510830,China;School of Financial Mathematics and Statistics,Guangdong Finance University,Guangzhou 510521,China)

机构地区：[1]广东培正学院数据科学与计算机学院,广东广州510830 [2]广东金融学院金融数学与统计学院,广东广州510521

出　　处：《南宁师范大学学报（自然科学版）》2020年第3期32-36,共5页Journal of Nanning Normal University：Natural Science Edition

基　　金：广东省普通高校基础研究重大项目(2017KZDXM038)。

摘　　要：在完备锥S-度量空间中,利用迭代方法,研究了一类扩张映射的不动点存在性问题.在非连续条件下,证明了几个不动点定理.所得结果推广了一些文献的相关结论,改进了相关的证明方法.In this paper,using the iteration method,the existence of fixed points of a class of expansion mapping in complete cone S-metric space was studied.Under non-continuous conditions,several fixed point theorems were proved.The result obtained extends some related conclusions and the proof method is improved.

关 键 词：锥S-度量空间 满射 扩张映射 不动点 

分 类 号：O177.6[理学—数学]