高师理科学刊2025，Vol.45Issue(7)：4-7,30,5.DOI:10.3969/j.issn.1007-9831.2025.07.002
偏序矩形b-度量空间中的压缩不动点定理
Contraction fixed point theorem in partially ordered rectangularb-metric spaces
摘要
Abstract
In partially ordered rectangular b-metric spaces,the existence of fixed point for a class of ordering-presering contractive mappings was studied.The partially ordered relationship was introduced in rectangular b-metric spaces,using interative methods,order-presrving sequences was constructed,the fixed point theorems for a class of k-continuous generalized contraction mappings were proved,which weakened the requirement for continunity of mappings and generalized the results of relevant literature.关键词
偏序矩形b-度量空间/保序映射/压缩映射/不动点Key words
partially ordered rectangle b-metric space/order-preserving mapping/contraction mapping/fixed point分类
数理科学引用本文复制引用
彭荣,陈衍堃..偏序矩形b-度量空间中的压缩不动点定理[J].高师理科学刊,2025,45(7):4-7,30,5.基金项目
广东省基础研究项目(2017KZDXM038) （2017KZDXM038）
广东省高校教学管理学会项目(X-KSCZ2021212) （X-KSCZ2021212）
