Generating fractal functions associated with Suzuki iterated function systems
Functional Analysis
2025-01-29 v1 Dynamical Systems
General Topology
Abstract
This article constructs a fractal interpolation function, also referred to as -fractal function, using Suzuki-type generalized -contraction mappings (STGPC). The STGPC is a generalization of -contraction mappings. The process of constructing -fractal functions using the STGPC is detailed, and examples of STGPC are given. The FIF has broad applications in data analysis, finance and price prediction. We have included a case study analyzing the price volatility of spinach in the Azadpur vegetable market in New Delhi. The fractal analysis gives a unique perspective on understanding price fluctuations over a period. Finally, the box-dimensional analysis is presented to comprehend the complexity of price fluctuations.
Keywords
Cite
@article{arxiv.2501.16851,
title = {Generating fractal functions associated with Suzuki iterated function systems},
author = {Mridul Patel and G. Verma and A. Eberhard and A. Rao},
journal= {arXiv preprint arXiv:2501.16851},
year = {2025}
}