Generating fractal functions associated with Suzuki iterated function systems
Abstract
This article constructs a fractal interpolation function, also referred to as α-fractal function, using Suzuki-type generalized -contraction mappings (STGPC). The STGPC is a generalization of -contraction mappings. The process of constructing α-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.
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