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<p>Within the framework of <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41478_2025_929_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(\psi\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ψ</mi> </math></EquationSource> </InlineEquation>-IFS, this paper generalizes the concept of self-similarity within the context of iterated function systems for compact topological groups and introduces the notion of a strong <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41478_2025_929_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(\psi\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ψ</mi> </math></EquationSource> </InlineEquation> self-similar ordered group and subsequently delves into its fundamental attributes.</p>

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Compact topological ordered groups and fractal

  • 期刊论文

  • 发表日期：

    2025年7月5日

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  • Kifayat Ullah,
  • Dilawar Juneed Mir,
  • S. K. Katiyar

摘要

Within the framework of \(\psi\) ψ -IFS, this paper generalizes the concept of self-similarity within the context of iterated function systems for compact topological groups and introduces the notion of a strong \(\psi\) ψ self-similar ordered group and subsequently delves into its fundamental attributes.