On the general fractal dimensions of hyperspace of compact sets

被引：13

作者：

Cheng, Dandan ^{[1
]}

Li, Zhiming ^{[2
]}

Selmi, Bilel ^{[3
]}

机构：

[1] Shanxi Normal Univ, Sch Math & Comp Sci, Taiyuan 030602, Peoples R China

[2] Northwest Univ, Sch Math, Xian 710127, Shannxi, Peoples R China

[3] Univ Monastir, Fac Sci Monastir, Dept Math, Anal Probabil & Fractals Lab LR18ES17, Monastir 5000, Tunisia

来源：

FUZZY SETS AND SYSTEMS | 2024年 / 488卷

关键词：

General fractal measures and dimensions; Hyperspace; HAUSDORFF DIMENSION;

D O I：

10.1016/j.fss.2024.108998

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Consider a separable metric space ( X, c ) , and let ( . f ( X ) , c ) denote the space of non-empty compact subsets of X equipped with the Hausdorff metric. This paper aims to introduce and investigate the concepts of two general fractal dimensions and general dimensions within the framework of ( . f ( X ) , c ) . In particular, we explore a relationship between the general fractal dimensions of a set Z of a self-similar sequence space and their counterparts in the space of compact subsets . f ( Z ) .

引用

页数：14

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