FRACTAL SURFACES INVOLVING RAKOTCH CONTRACTION FOR COUNTABLE DATA SETS

Manuj Verma and Amit Priyadarshi ()
Additional contact information
Manuj Verma: Department of Mathematics, Indian Institute of Technology Delhi, New Delhi, India 110016, India
Amit Priyadarshi: Department of Mathematics, Indian Institute of Technology Delhi, New Delhi, India 110016, India

FRACTALS (fractals), 2024, vol. 32, issue 02, 1-12

Abstract: In this paper, we prove the existence of the bivariate fractal interpolation function using the Rakotch contraction theory and iterated function system for a countable data set. We also give the existence of the invariant Borel probability measure supported on the graph of the bivariate fractal interpolation function. In particular, we highlight that our theory encompasses the bivariate fractal interpolation theory in both finite and countably infinite settings available in literature.

Keywords: Iterated Function Systems; Fractal Interpolation Functions; Hausdorff Dimension; Box Dimension; Rakotch Contraction (search for similar items in EconPapers)
Date: 2024
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X24400024
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:32:y:2024:i:02:n:s0218348x24400024

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X24400024

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().