山西大学学报（自然科学版）2024，Vol.47Issue(6)：1127-1135,9.DOI:10.13451/j.sxu.ns.2023158
度量G-空间中的若干G-跟踪性
Several G-Shadowing Properties in Metric G-spaces
摘要
Abstract
We studied the relations of G-shadowing property,G-limit shadowing property and G-sequence shadowing property be-tween self-map f and iterative map fk in metric G-spaces.Then,we drew the following conclusions:(1)it is an equivalent condition that f has the G-shadowing property and fk has the G-shadowing property;(2)it is an equivalent condition that f has the G-limit shad-owing property and fk has the G-limit shadowing property;(3)it is an equivalent condition that f has the G-sequence shadowing property and fk has the G-sequence shadowing property.The results improved the conclusions of shadowing property,limit shadow-ing property and sequence shadowing property between self-map f and iterative map fk in metric space.关键词
G-极限踪性/G-序列跟踪性/等价条件/可交换群Key words
G-limit shadowing property/G-sequence shadowing property/equivalent condition/commutative group分类
数理科学引用本文复制引用
冀占江,陈占和,刘海林..度量G-空间中的若干G-跟踪性[J].山西大学学报（自然科学版）,2024,47(6):1127-1135,9.基金项目
国家自然科学基金(12126415) （12126415）
广西自然科学基金(2020JJA110021) （2020JJA110021）
梧州学院校级重点项目(2020B007) （2020B007）
