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<p>This manuscript aims to develop the concept of almost Ciric twisted <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13663_2025_798_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="45" /> </InlineMediaObject> <EquationSource Format="MATHML"><math> <mo stretchy="false">(</mo> <mo>∝</mo> <mo>,</mo> <mi>μ</mi> <mo stretchy="false">)</mo> </math></EquationSource> <EquationSource Format="TEX">$(\varpropto ,\mu )$</EquationSource> </InlineEquation> Θ-contraction and prove novel fixed point results. In this direction, several ideas and definitions from the literature have been re-evaluated. Utilising the idea of twisted <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13663_2025_798_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="45" /> </InlineMediaObject> <EquationSource Format="MATHML"><math> <mo stretchy="false">(</mo> <mo>∝</mo> <mo>,</mo> <mi>μ</mi> <mo stretchy="false">)</mo> </math></EquationSource> <EquationSource Format="TEX">$(\varpropto ,\mu )$</EquationSource> </InlineEquation> mappings and Θ-contraction, new results of almost ciric type are presented. The inclusion of examples supports the presented results. Finally, the results are employed to guarantee the existence and ensure the uniqueness of fractional differential equations associated with the stability of the production-consumption equilibrium and economic growth model.</p>

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New fixed point results for Ciric twisted contraction with applications to market models

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年10月6日

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  • Syed Khayyam Shah,
  • Muhammad Sarwar,
  • Kamalidin Abodayeh,
  • Saowaluck Chasreechai,
  • Thanin Sitthiwirattham

摘要

This manuscript aims to develop the concept of almost Ciric twisted ( ∝ , μ ) $(\varpropto ,\mu )$ Θ-contraction and prove novel fixed point results. In this direction, several ideas and definitions from the literature have been re-evaluated. Utilising the idea of twisted ( ∝ , μ ) $(\varpropto ,\mu )$ mappings and Θ-contraction, new results of almost ciric type are presented. The inclusion of examples supports the presented results. Finally, the results are employed to guarantee the existence and ensure the uniqueness of fractional differential equations associated with the stability of the production-consumption equilibrium and economic growth model.