Slices of Hewitt–Stromberg measures and co-dimensions formula

Selmi, Bilel

doi:10.1515/anly-2021-1005

Cited by 9 publications

(1 citation statement)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Hutchinson's IFS theory has massively expanded for more generalized spaces and generalized contractions, and extended to infinite IFS and multifunction systems to generate general types of fractal sets with the distinguished dimensional measures [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31]. Hata [32] used condition functions to create IFS.…”

Section: Introductionmentioning

confidence: 99%

Fractals via Controlled Fisher Iterated Function System

Thangaraj

Easwaramoorthy

2022

Fractal Fract

View full text Add to dashboard Cite

This paper explores the generalization of the fixed-point theorem for Fisher contraction on controlled metric space. The controlled metric space and Fisher contractions are playing a very crucial role in this research. The Fisher contraction on the controlled metric space is used in this paper to generate a new type of fractal set called controlled Fisher fractals (CF-Fractals) by constructing a system named the controlled Fisher iterated function system (CF-IFS). Furthermore, the interesting results and consequences of the controlled Fisher iterated function system and controlled Fisher fractals are demonstrated. In addition, the collage theorem on controlled Fisher fractals is established as well. The newly developing IFS and fractal set in the controlled metric space can provide the novel directions in the fractal theory.

show abstract