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<p>In this paper, we introduce generalized proximal <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\phi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ϕ</mi> </math></EquationSource> </InlineEquation>-contraction maps of type I and type II. We then construct the corresponding coupled proximal iterated function systems associated with these contractions and demonstrate their applicability in fractal theory by generating fractals through the newly developed systems. Furthermore, illustrative examples are presented to substantiate the main results.</p>

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Fractal modeling with coupled iterated function systems

  • 期刊论文

  • 发表日期：

    2026年4月27日

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  • A. Sreelakshmi Unni,
  • V. Pragadeeswarar

摘要

In this paper, we introduce generalized proximal \(\phi \) ϕ -contraction maps of type I and type II. We then construct the corresponding coupled proximal iterated function systems associated with these contractions and demonstrate their applicability in fractal theory by generating fractals through the newly developed systems. Furthermore, illustrative examples are presented to substantiate the main results.