锥b-度量空间中相容映像的不动点定理

doi:10.13438/j.cnki.jdzk.2021.02.004

吉首大学学报（自然科学版） ›› 2021, Vol. 42 ›› Issue (2): 20-25.DOI: 10.13438/j.cnki.jdzk.2021.02.004

锥b-度量空间中相容映像的不动点定理

彭荣，柴富杰

(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)

出版日期:2021-03-25 发布日期:2021-08-29
作者简介:彭荣（1982—）男，湖北嘉鱼人，广东培正学院数据科学与计算机学院讲师，硕士，主要从事非线性泛函分析及应用研究.
基金资助:
〗广东省普通高校基础研究重大项目（2017KZDXM038）

Fixed Point Theorems of Compatible Mappings in Cone b-Metric Spaces

PENG Rong，CHAI Fujie

(1. School of Data Science and Computer Science, Guangdong Peizheng University, Guangzhou 510830, China; 2. School of Financial Mathematics and Statistics, Guangdong University of Finance, Guangzhou 510521, China)

Online:2021-03-25 Published:2021-08-29

摘要/Abstract

摘要：研究了完备的锥b-度量空间中广义压缩条件下4个映像的公共不动点问题.通过构造单调迭代序列，并利用迭代方法和映像的相容性，证明了几个公共不动点存在唯一性定理，推广了锥度量空间和b-度量空间中的有关结果.

关键词： 锥b-度量空间, 公共不动点, 压缩映像, 相容映像

Abstract: In this paper, common fixed point problem of four generalized contractive mappings in a complete cone b-metric spaces is studied. A monotonic iterative sequence is constructed and existence and uniqueness theorems of several common fixed points are proved with the iterative method and the compatibility of mappings, which generalizes relative results in cone metric spaces and b-metric spaces.

Key words: cone b-metric space, common fixed point, contractive mapping, compatible mapping

彭荣, 柴富杰. 锥b-度量空间中相容映像的不动点定理[J]. 吉首大学学报（自然科学版）, 2021, 42(2): 20-25.

PENG Rong, CHAI Fujie. Fixed Point Theorems of Compatible Mappings in Cone b-Metric Spaces[J]. Journal of Jishou University(Natural Sciences Edition), 2021, 42(2): 20-25.

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锥b-度量空间中相容映像的不动点定理

Fixed Point Theorems of Compatible Mappings in Cone b-Metric Spaces

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